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Finding the Fourth Proportional to 410.75, 565.74 and 323.27

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Solution

The fourth proportional to 410.75, 565.74 and 323.27 is: 445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 565.74 = 323.27 : x
  2. Step 2: Convert to fraction form
    410.75/565.74 = 323.27/x
  3. Step 3: Cross multiply
    410.75x = 565.74 × 323.27
  4. Step 4: Simplify right side
    410.75x = 182,886.77
  5. Step 5: Solve for x
    x = 182,886.77/410.75
  6. Step 6: Final answer
    x = 445.25

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Find fourth proportional to 205.38, 282.87 and 161.64
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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.