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Finding the Fourth Proportional to 187.47, 280.77 and 180.98

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Solution

The fourth proportional to 187.47, 280.77 and 180.98 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 280.77 = 180.98 : x
  2. Step 2: Convert to fraction form
    187.47/280.77 = 180.98/x
  3. Step 3: Cross multiply
    187.47x = 280.77 × 180.98
  4. Step 4: Simplify right side
    187.47x = 50,812.72
  5. Step 5: Solve for x
    x = 50,812.72/187.47
  6. Step 6: Final answer
    x = 271.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.