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Finding the Fourth Proportional to 187.80, 279.84 and 165.12

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Solution

The fourth proportional to 187.80, 279.84 and 165.12 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 279.84 = 165.12 : x
  2. Step 2: Convert to fraction form
    187.80/279.84 = 165.12/x
  3. Step 3: Cross multiply
    187.80x = 279.84 × 165.12
  4. Step 4: Simplify right side
    187.80x = 46,207.18
  5. Step 5: Solve for x
    x = 46,207.18/187.80
  6. Step 6: Final answer
    x = 246.04

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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.