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Finding the Fourth Proportional to 166.47, 250.93 and 152.61

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Solution

The fourth proportional to 166.47, 250.93 and 152.61 is: 230.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.47 : 250.93 = 152.61 : x
  2. Step 2: Convert to fraction form
    166.47/250.93 = 152.61/x
  3. Step 3: Cross multiply
    166.47x = 250.93 × 152.61
  4. Step 4: Simplify right side
    166.47x = 38,293.17
  5. Step 5: Solve for x
    x = 38,293.17/166.47
  6. Step 6: Final answer
    x = 230.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.