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Finding the Fourth Proportional to 410.61, 565.90 and 357.56

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Solution

The fourth proportional to 410.61, 565.90 and 357.56 is: 492.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.61 : 565.90 = 357.56 : x
  2. Step 2: Convert to fraction form
    410.61/565.90 = 357.56/x
  3. Step 3: Cross multiply
    410.61x = 565.90 × 357.56
  4. Step 4: Simplify right side
    410.61x = 202,343.20
  5. Step 5: Solve for x
    x = 202,343.20/410.61
  6. Step 6: Final answer
    x = 492.79

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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.