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Finding the Fourth Proportional to 621.75, 932.56 and 188.91

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Solution

The fourth proportional to 621.75, 932.56 and 188.91 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.75 : 932.56 = 188.91 : x
  2. Step 2: Convert to fraction form
    621.75/932.56 = 188.91/x
  3. Step 3: Cross multiply
    621.75x = 932.56 × 188.91
  4. Step 4: Simplify right side
    621.75x = 176,164.30
  5. Step 5: Solve for x
    x = 176,164.30/621.75
  6. Step 6: Final answer
    x = 283.34

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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.