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Finding the Fourth Proportional to 187.46, 280.03 and 144.11

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Solution

The fourth proportional to 187.46, 280.03 and 144.11 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.46 : 280.03 = 144.11 : x
  2. Step 2: Convert to fraction form
    187.46/280.03 = 144.11/x
  3. Step 3: Cross multiply
    187.46x = 280.03 × 144.11
  4. Step 4: Simplify right side
    187.46x = 40,355.12
  5. Step 5: Solve for x
    x = 40,355.12/187.46
  6. Step 6: Final answer
    x = 215.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.