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Finding the Fourth Proportional to 166.65, 228.54 and 159.90

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Solution

The fourth proportional to 166.65, 228.54 and 159.90 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 228.54 = 159.90 : x
  2. Step 2: Convert to fraction form
    166.65/228.54 = 159.90/x
  3. Step 3: Cross multiply
    166.65x = 228.54 × 159.90
  4. Step 4: Simplify right side
    166.65x = 36,543.55
  5. Step 5: Solve for x
    x = 36,543.55/166.65
  6. Step 6: Final answer
    x = 219.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.