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Finding the Fourth Proportional to 384.80, 531.76 and 372.16

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Solution

The fourth proportional to 384.80, 531.76 and 372.16 is: 514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.80 : 531.76 = 372.16 : x
  2. Step 2: Convert to fraction form
    384.80/531.76 = 372.16/x
  3. Step 3: Cross multiply
    384.80x = 531.76 × 372.16
  4. Step 4: Simplify right side
    384.80x = 197,899.80
  5. Step 5: Solve for x
    x = 197,899.80/384.80
  6. Step 6: Final answer
    x = 514.29

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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.