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Finding the Fourth Proportional to 187.01, 279.77 and 175.49

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Solution

The fourth proportional to 187.01, 279.77 and 175.49 is: 262.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.01 : 279.77 = 175.49 : x
  2. Step 2: Convert to fraction form
    187.01/279.77 = 175.49/x
  3. Step 3: Cross multiply
    187.01x = 279.77 × 175.49
  4. Step 4: Simplify right side
    187.01x = 49,094.56
  5. Step 5: Solve for x
    x = 49,094.56/187.01
  6. Step 6: Final answer
    x = 262.53

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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.