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Finding the Fourth Proportional to 78.24, 116.40 and 77.52

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Solution

The fourth proportional to 78.24, 116.40 and 77.52 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 116.40 = 77.52 : x
  2. Step 2: Convert to fraction form
    78.24/116.40 = 77.52/x
  3. Step 3: Cross multiply
    78.24x = 116.40 × 77.52
  4. Step 4: Simplify right side
    78.24x = 9,023.33
  5. Step 5: Solve for x
    x = 9,023.33/78.24
  6. Step 6: Final answer
    x = 115.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.