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Finding the Fourth Proportional to 76.70, 115.02 and 25.33

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Solution

The fourth proportional to 76.70, 115.02 and 25.33 is: 37.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 115.02 = 25.33 : x
  2. Step 2: Convert to fraction form
    76.70/115.02 = 25.33/x
  3. Step 3: Cross multiply
    76.70x = 115.02 × 25.33
  4. Step 4: Simplify right side
    76.70x = 2,913.17
  5. Step 5: Solve for x
    x = 2,913.17/76.70
  6. Step 6: Final answer
    x = 37.98

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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.