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Finding the Fourth Proportional to 176.85, 243.88 and 137.45

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Solution

The fourth proportional to 176.85, 243.88 and 137.45 is: 189.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 243.88 = 137.45 : x
  2. Step 2: Convert to fraction form
    176.85/243.88 = 137.45/x
  3. Step 3: Cross multiply
    176.85x = 243.88 × 137.45
  4. Step 4: Simplify right side
    176.85x = 33,521.27
  5. Step 5: Solve for x
    x = 33,521.27/176.85
  6. Step 6: Final answer
    x = 189.55

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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.