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Finding the Fourth Proportional to 472, 707.68 and 240.96

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Solution

The fourth proportional to 472, 707.68 and 240.96 is: 361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 707.68 = 240.96 : x
  2. Step 2: Convert to fraction form
    472/707.68 = 240.96/x
  3. Step 3: Cross multiply
    472x = 707.68 × 240.96
  4. Step 4: Simplify right side
    472x = 170,522.57
  5. Step 5: Solve for x
    x = 170,522.57/472
  6. Step 6: Final answer
    x = 361.28

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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.