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Finding the Fourth Proportional to 180.04, 248.73 and 138.76

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Solution

The fourth proportional to 180.04, 248.73 and 138.76 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 248.73 = 138.76 : x
  2. Step 2: Convert to fraction form
    180.04/248.73 = 138.76/x
  3. Step 3: Cross multiply
    180.04x = 248.73 × 138.76
  4. Step 4: Simplify right side
    180.04x = 34,513.77
  5. Step 5: Solve for x
    x = 34,513.77/180.04
  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.