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Finding the Fourth Proportional to 187.57, 279.75 and 177.85

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Solution

The fourth proportional to 187.57, 279.75 and 177.85 is: 265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.57 : 279.75 = 177.85 : x
  2. Step 2: Convert to fraction form
    187.57/279.75 = 177.85/x
  3. Step 3: Cross multiply
    187.57x = 279.75 × 177.85
  4. Step 4: Simplify right side
    187.57x = 49,751.25
  5. Step 5: Solve for x
    x = 49,751.25/187.57
  6. Step 6: Final answer
    x = 265.25

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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.