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Finding the Fourth Proportional to 384.88, 531.12 and 229.64

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Solution

The fourth proportional to 384.88, 531.12 and 229.64 is: 316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.88 : 531.12 = 229.64 : x
  2. Step 2: Convert to fraction form
    384.88/531.12 = 229.64/x
  3. Step 3: Cross multiply
    384.88x = 531.12 × 229.64
  4. Step 4: Simplify right side
    384.88x = 121,966.40
  5. Step 5: Solve for x
    x = 121,966.40/384.88
  6. Step 6: Final answer
    x = 316.89

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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.