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Finding the Fourth Proportional to 187.56, 279.95 and 176.02

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Solution

The fourth proportional to 187.56, 279.95 and 176.02 is: 262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.56 : 279.95 = 176.02 : x
  2. Step 2: Convert to fraction form
    187.56/279.95 = 176.02/x
  3. Step 3: Cross multiply
    187.56x = 279.95 × 176.02
  4. Step 4: Simplify right side
    187.56x = 49,277.06
  5. Step 5: Solve for x
    x = 49,277.06/187.56
  6. Step 6: Final answer
    x = 262.72

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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.