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Finding the Fourth Proportional to 154.92, 230.79 and 145.59

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Solution

The fourth proportional to 154.92, 230.79 and 145.59 is: 216.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.92 : 230.79 = 145.59 : x
  2. Step 2: Convert to fraction form
    154.92/230.79 = 145.59/x
  3. Step 3: Cross multiply
    154.92x = 230.79 × 145.59
  4. Step 4: Simplify right side
    154.92x = 33,600.72
  5. Step 5: Solve for x
    x = 33,600.72/154.92
  6. Step 6: Final answer
    x = 216.89

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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.