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Finding the Fourth Proportional to 97.36, 145.25 and 86.56

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Solution

The fourth proportional to 97.36, 145.25 and 86.56 is: 129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 145.25 = 86.56 : x
  2. Step 2: Convert to fraction form
    97.36/145.25 = 86.56/x
  3. Step 3: Cross multiply
    97.36x = 145.25 × 86.56
  4. Step 4: Simplify right side
    97.36x = 12,572.84
  5. Step 5: Solve for x
    x = 12,572.84/97.36
  6. Step 6: Final answer
    x = 129.14

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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.