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Finding the Fourth Proportional to 98.02, 134.53 and 87.42

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Solution

The fourth proportional to 98.02, 134.53 and 87.42 is: 119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.02 : 134.53 = 87.42 : x
  2. Step 2: Convert to fraction form
    98.02/134.53 = 87.42/x
  3. Step 3: Cross multiply
    98.02x = 134.53 × 87.42
  4. Step 4: Simplify right side
    98.02x = 11,760.61
  5. Step 5: Solve for x
    x = 11,760.61/98.02
  6. Step 6: Final answer
    x = 119.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.