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Finding the Fourth Proportional to 97.42, 134.13 and 77.98

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Solution

The fourth proportional to 97.42, 134.13 and 77.98 is: 107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.13 = 77.98 : x
  2. Step 2: Convert to fraction form
    97.42/134.13 = 77.98/x
  3. Step 3: Cross multiply
    97.42x = 134.13 × 77.98
  4. Step 4: Simplify right side
    97.42x = 10,459.46
  5. Step 5: Solve for x
    x = 10,459.46/97.42
  6. Step 6: Final answer
    x = 107.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.