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Finding the Fourth Proportional to 78.49, 108.24 and 52.28

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Solution

The fourth proportional to 78.49, 108.24 and 52.28 is: 72.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.49 : 108.24 = 52.28 : x
  2. Step 2: Convert to fraction form
    78.49/108.24 = 52.28/x
  3. Step 3: Cross multiply
    78.49x = 108.24 × 52.28
  4. Step 4: Simplify right side
    78.49x = 5,658.79
  5. Step 5: Solve for x
    x = 5,658.79/78.49
  6. Step 6: Final answer
    x = 72.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.