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Finding the Fourth Proportional to 464, 694.96 and 281.17

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Solution

The fourth proportional to 464, 694.96 and 281.17 is: 421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    464 : 694.96 = 281.17 : x
  2. Step 2: Convert to fraction form
    464/694.96 = 281.17/x
  3. Step 3: Cross multiply
    464x = 694.96 × 281.17
  4. Step 4: Simplify right side
    464x = 195,401.90
  5. Step 5: Solve for x
    x = 195,401.90/464
  6. Step 6: Final answer
    x = 421.12

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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.