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Finding the Fourth Proportional to 97.38, 145.53 and 85.23

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Solution

The fourth proportional to 97.38, 145.53 and 85.23 is: 127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 145.53 = 85.23 : x
  2. Step 2: Convert to fraction form
    97.38/145.53 = 85.23/x
  3. Step 3: Cross multiply
    97.38x = 145.53 × 85.23
  4. Step 4: Simplify right side
    97.38x = 12,403.52
  5. Step 5: Solve for x
    x = 12,403.52/97.38
  6. Step 6: Final answer
    x = 127.37

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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.