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Finding the Fourth Proportional to 97.40, 133.52 and 94.98

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Solution

The fourth proportional to 97.40, 133.52 and 94.98 is: 130.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.40 : 133.52 = 94.98 : x
  2. Step 2: Convert to fraction form
    97.40/133.52 = 94.98/x
  3. Step 3: Cross multiply
    97.40x = 133.52 × 94.98
  4. Step 4: Simplify right side
    97.40x = 12,681.73
  5. Step 5: Solve for x
    x = 12,681.73/97.40
  6. Step 6: Final answer
    x = 130.20

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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.