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Finding the Fourth Proportional to 166.60, 229.62 and 152.92

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Solution

The fourth proportional to 166.60, 229.62 and 152.92 is: 210.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 229.62 = 152.92 : x
  2. Step 2: Convert to fraction form
    166.60/229.62 = 152.92/x
  3. Step 3: Cross multiply
    166.60x = 229.62 × 152.92
  4. Step 4: Simplify right side
    166.60x = 35,113.49
  5. Step 5: Solve for x
    x = 35,113.49/166.60
  6. Step 6: Final answer
    x = 210.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.