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Finding the Fourth Proportional to 176.12, 244.18 and 166.40

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Solution

The fourth proportional to 176.12, 244.18 and 166.40 is: 230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 244.18 = 166.40 : x
  2. Step 2: Convert to fraction form
    176.12/244.18 = 166.40/x
  3. Step 3: Cross multiply
    176.12x = 244.18 × 166.40
  4. Step 4: Simplify right side
    176.12x = 40,631.55
  5. Step 5: Solve for x
    x = 40,631.55/176.12
  6. Step 6: Final answer
    x = 230.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.