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Finding the Fourth Proportional to 372.20, 560.40 and 307.07

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Solution

The fourth proportional to 372.20, 560.40 and 307.07 is: 462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.20 : 560.40 = 307.07 : x
  2. Step 2: Convert to fraction form
    372.20/560.40 = 307.07/x
  3. Step 3: Cross multiply
    372.20x = 560.40 × 307.07
  4. Step 4: Simplify right side
    372.20x = 172,079.23
  5. Step 5: Solve for x
    x = 172,079.23/372.20
  6. Step 6: Final answer
    x = 462.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.