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Finding the Fourth Proportional to 621.98, 932.46 and 256.67

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Solution

The fourth proportional to 621.98, 932.46 and 256.67 is: 384.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.98 : 932.46 = 256.67 : x
  2. Step 2: Convert to fraction form
    621.98/932.46 = 256.67/x
  3. Step 3: Cross multiply
    621.98x = 932.46 × 256.67
  4. Step 4: Simplify right side
    621.98x = 239,329.85
  5. Step 5: Solve for x
    x = 239,329.85/621.98
  6. Step 6: Final answer
    x = 384.79

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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.