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Finding the Fourth Proportional to 97.43, 145.39 and 96.86

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Solution

The fourth proportional to 97.43, 145.39 and 96.86 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.43 : 145.39 = 96.86 : x
  2. Step 2: Convert to fraction form
    97.43/145.39 = 96.86/x
  3. Step 3: Cross multiply
    97.43x = 145.39 × 96.86
  4. Step 4: Simplify right side
    97.43x = 14,082.51
  5. Step 5: Solve for x
    x = 14,082.51/97.43
  6. Step 6: Final answer
    x = 144.54

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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.