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Finding the Fourth Proportional to 97.88, 133.34 and 95.90

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Solution

The fourth proportional to 97.88, 133.34 and 95.90 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 133.34 = 95.90 : x
  2. Step 2: Convert to fraction form
    97.88/133.34 = 95.90/x
  3. Step 3: Cross multiply
    97.88x = 133.34 × 95.90
  4. Step 4: Simplify right side
    97.88x = 12,787.31
  5. Step 5: Solve for x
    x = 12,787.31/97.88
  6. Step 6: Final answer
    x = 130.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.