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Finding the Fourth Proportional to 410.05, 565.14 and 285.31

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Solution

The fourth proportional to 410.05, 565.14 and 285.31 is: 393.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.05 : 565.14 = 285.31 : x
  2. Step 2: Convert to fraction form
    410.05/565.14 = 285.31/x
  3. Step 3: Cross multiply
    410.05x = 565.14 × 285.31
  4. Step 4: Simplify right side
    410.05x = 161,240.09
  5. Step 5: Solve for x
    x = 161,240.09/410.05
  6. Step 6: Final answer
    x = 393.22

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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.