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Finding the Fourth Proportional to 410.33, 565.62 and 291.95

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Solution

The fourth proportional to 410.33, 565.62 and 291.95 is: 402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.33 : 565.62 = 291.95 : x
  2. Step 2: Convert to fraction form
    410.33/565.62 = 291.95/x
  3. Step 3: Cross multiply
    410.33x = 565.62 × 291.95
  4. Step 4: Simplify right side
    410.33x = 165,129.93
  5. Step 5: Solve for x
    x = 165,129.93/410.33
  6. Step 6: Final answer
    x = 402.44

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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.