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Finding the Fourth Proportional to 88.80, 133.23 and 78.78

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Solution

The fourth proportional to 88.80, 133.23 and 78.78 is: 118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.80 : 133.23 = 78.78 : x
  2. Step 2: Convert to fraction form
    88.80/133.23 = 78.78/x
  3. Step 3: Cross multiply
    88.80x = 133.23 × 78.78
  4. Step 4: Simplify right side
    88.80x = 10,495.86
  5. Step 5: Solve for x
    x = 10,495.86/88.80
  6. Step 6: Final answer
    x = 118.20

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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.