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Finding the Fourth Proportional to 410.19, 565.89 and 252.69

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Solution

The fourth proportional to 410.19, 565.89 and 252.69 is: 348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.19 : 565.89 = 252.69 : x
  2. Step 2: Convert to fraction form
    410.19/565.89 = 252.69/x
  3. Step 3: Cross multiply
    410.19x = 565.89 × 252.69
  4. Step 4: Simplify right side
    410.19x = 142,994.74
  5. Step 5: Solve for x
    x = 142,994.74/410.19
  6. Step 6: Final answer
    x = 348.61

Related Problems

Find fourth proportional to 205.10, 282.95 and 126.35
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.