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Finding the Fourth Proportional to 97.57, 145.58 and 86.05

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Solution

The fourth proportional to 97.57, 145.58 and 86.05 is: 128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.57 : 145.58 = 86.05 : x
  2. Step 2: Convert to fraction form
    97.57/145.58 = 86.05/x
  3. Step 3: Cross multiply
    97.57x = 145.58 × 86.05
  4. Step 4: Simplify right side
    97.57x = 12,527.16
  5. Step 5: Solve for x
    x = 12,527.16/97.57
  6. Step 6: Final answer
    x = 128.39

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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.