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Finding the Fourth Proportional to 187.64, 279.72 and 184.68

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Solution

The fourth proportional to 187.64, 279.72 and 184.68 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 279.72 = 184.68 : x
  2. Step 2: Convert to fraction form
    187.64/279.72 = 184.68/x
  3. Step 3: Cross multiply
    187.64x = 279.72 × 184.68
  4. Step 4: Simplify right side
    187.64x = 51,659.38
  5. Step 5: Solve for x
    x = 51,659.38/187.64
  6. Step 6: Final answer
    x = 275.31

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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.