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Finding the Fourth Proportional to 410.80, 566.53 and 306.15

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Solution

The fourth proportional to 410.80, 566.53 and 306.15 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 566.53 = 306.15 : x
  2. Step 2: Convert to fraction form
    410.80/566.53 = 306.15/x
  3. Step 3: Cross multiply
    410.80x = 566.53 × 306.15
  4. Step 4: Simplify right side
    410.80x = 173,443.16
  5. Step 5: Solve for x
    x = 173,443.16/410.80
  6. Step 6: Final answer
    x = 422.21

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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.