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Finding the Fourth Proportional to 166.04, 229.44 and 151.40

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Solution

The fourth proportional to 166.04, 229.44 and 151.40 is: 209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.44 = 151.40 : x
  2. Step 2: Convert to fraction form
    166.04/229.44 = 151.40/x
  3. Step 3: Cross multiply
    166.04x = 229.44 × 151.40
  4. Step 4: Simplify right side
    166.04x = 34,737.22
  5. Step 5: Solve for x
    x = 34,737.22/166.04
  6. Step 6: Final answer
    x = 209.21

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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.