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Finding the Fourth Proportional to 488.19, 731.43 and 256.71

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Solution

The fourth proportional to 488.19, 731.43 and 256.71 is: 384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.19 : 731.43 = 256.71 : x
  2. Step 2: Convert to fraction form
    488.19/731.43 = 256.71/x
  3. Step 3: Cross multiply
    488.19x = 731.43 × 256.71
  4. Step 4: Simplify right side
    488.19x = 187,765.40
  5. Step 5: Solve for x
    x = 187,765.40/488.19
  6. Step 6: Final answer
    x = 384.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.