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Finding the Fourth Proportional to 78.24, 115.80 and 78.04

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Solution

The fourth proportional to 78.24, 115.80 and 78.04 is: 115.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 115.80 = 78.04 : x
  2. Step 2: Convert to fraction form
    78.24/115.80 = 78.04/x
  3. Step 3: Cross multiply
    78.24x = 115.80 × 78.04
  4. Step 4: Simplify right side
    78.24x = 9,037.03
  5. Step 5: Solve for x
    x = 9,037.03/78.24
  6. Step 6: Final answer
    x = 115.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.