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Finding the Fourth Proportional to 97.18, 133.15 and 95.98

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Solution

The fourth proportional to 97.18, 133.15 and 95.98 is: 131.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.18 : 133.15 = 95.98 : x
  2. Step 2: Convert to fraction form
    97.18/133.15 = 95.98/x
  3. Step 3: Cross multiply
    97.18x = 133.15 × 95.98
  4. Step 4: Simplify right side
    97.18x = 12,779.74
  5. Step 5: Solve for x
    x = 12,779.74/97.18
  6. Step 6: Final answer
    x = 131.51

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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.