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Finding the Fourth Proportional to 101.79, 151.78 and 96.23

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Solution

The fourth proportional to 101.79, 151.78 and 96.23 is: 143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.79 : 151.78 = 96.23 : x
  2. Step 2: Convert to fraction form
    101.79/151.78 = 96.23/x
  3. Step 3: Cross multiply
    101.79x = 151.78 × 96.23
  4. Step 4: Simplify right side
    101.79x = 14,605.79
  5. Step 5: Solve for x
    x = 14,605.79/101.79
  6. Step 6: Final answer
    x = 143.49

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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.