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Finding the Fourth Proportional to 187.14, 280.59 and 165.53

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Solution

The fourth proportional to 187.14, 280.59 and 165.53 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.14 : 280.59 = 165.53 : x
  2. Step 2: Convert to fraction form
    187.14/280.59 = 165.53/x
  3. Step 3: Cross multiply
    187.14x = 280.59 × 165.53
  4. Step 4: Simplify right side
    187.14x = 46,444.66
  5. Step 5: Solve for x
    x = 46,444.66/187.14
  6. Step 6: Final answer
    x = 248.18

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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.