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Finding the Fourth Proportional to 180.32, 248.72 and 138.98

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Solution

The fourth proportional to 180.32, 248.72 and 138.98 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 248.72 = 138.98 : x
  2. Step 2: Convert to fraction form
    180.32/248.72 = 138.98/x
  3. Step 3: Cross multiply
    180.32x = 248.72 × 138.98
  4. Step 4: Simplify right side
    180.32x = 34,567.03
  5. Step 5: Solve for x
    x = 34,567.03/180.32
  6. Step 6: Final answer
    x = 191.70

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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.