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Finding the Fourth Proportional to 438.52, 660.78 and 363.16

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Solution

The fourth proportional to 438.52, 660.78 and 363.16 is: 547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 660.78 = 363.16 : x
  2. Step 2: Convert to fraction form
    438.52/660.78 = 363.16/x
  3. Step 3: Cross multiply
    438.52x = 660.78 × 363.16
  4. Step 4: Simplify right side
    438.52x = 239,968.86
  5. Step 5: Solve for x
    x = 239,968.86/438.52
  6. Step 6: Final answer
    x = 547.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.