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Finding the Fourth Proportional to 466.30, 642.66 and 372.88

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Solution

The fourth proportional to 466.30, 642.66 and 372.88 is: 513.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.30 : 642.66 = 372.88 : x
  2. Step 2: Convert to fraction form
    466.30/642.66 = 372.88/x
  3. Step 3: Cross multiply
    466.30x = 642.66 × 372.88
  4. Step 4: Simplify right side
    466.30x = 239,635.06
  5. Step 5: Solve for x
    x = 239,635.06/466.30
  6. Step 6: Final answer
    x = 513.91

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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.