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Finding the Fourth Proportional to 410.76, 565.56 and 369.54

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Solution

The fourth proportional to 410.76, 565.56 and 369.54 is: 508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.76 : 565.56 = 369.54 : x
  2. Step 2: Convert to fraction form
    410.76/565.56 = 369.54/x
  3. Step 3: Cross multiply
    410.76x = 565.56 × 369.54
  4. Step 4: Simplify right side
    410.76x = 208,997.04
  5. Step 5: Solve for x
    x = 208,997.04/410.76
  6. Step 6: Final answer
    x = 508.81

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Find fourth proportional to 205.38, 282.78 and 184.77
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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.