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Finding the Fourth Proportional to 622.18, 932.91 and 257.22

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Solution

The fourth proportional to 622.18, 932.91 and 257.22 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 932.91 = 257.22 : x
  2. Step 2: Convert to fraction form
    622.18/932.91 = 257.22/x
  3. Step 3: Cross multiply
    622.18x = 932.91 × 257.22
  4. Step 4: Simplify right side
    622.18x = 239,963.11
  5. Step 5: Solve for x
    x = 239,963.11/622.18
  6. Step 6: Final answer
    x = 385.68

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