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Finding the Fourth Proportional to 97.35, 145.12 and 95.87

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Solution

The fourth proportional to 97.35, 145.12 and 95.87 is: 142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.35 : 145.12 = 95.87 : x
  2. Step 2: Convert to fraction form
    97.35/145.12 = 95.87/x
  3. Step 3: Cross multiply
    97.35x = 145.12 × 95.87
  4. Step 4: Simplify right side
    97.35x = 13,911.45
  5. Step 5: Solve for x
    x = 13,911.45/97.35
  6. Step 6: Final answer
    x = 142.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.