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Finding the Fourth Proportional to 97.65, 145.52 and 92.79

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Solution

The fourth proportional to 97.65, 145.52 and 92.79 is: 138.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.65 : 145.52 = 92.79 : x
  2. Step 2: Convert to fraction form
    97.65/145.52 = 92.79/x
  3. Step 3: Cross multiply
    97.65x = 145.52 × 92.79
  4. Step 4: Simplify right side
    97.65x = 13,502.80
  5. Step 5: Solve for x
    x = 13,502.80/97.65
  6. Step 6: Final answer
    x = 138.28

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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.