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Finding the Fourth Proportional to 97.59, 145.51 and 96.39

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Solution

The fourth proportional to 97.59, 145.51 and 96.39 is: 143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.59 : 145.51 = 96.39 : x
  2. Step 2: Convert to fraction form
    97.59/145.51 = 96.39/x
  3. Step 3: Cross multiply
    97.59x = 145.51 × 96.39
  4. Step 4: Simplify right side
    97.59x = 14,025.71
  5. Step 5: Solve for x
    x = 14,025.71/97.59
  6. Step 6: Final answer
    x = 143.72

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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.