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Finding the Fourth Proportional to 187.00, 279.29 and 176.47

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Solution

The fourth proportional to 187.00, 279.29 and 176.47 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.00 : 279.29 = 176.47 : x
  2. Step 2: Convert to fraction form
    187.00/279.29 = 176.47/x
  3. Step 3: Cross multiply
    187.00x = 279.29 × 176.47
  4. Step 4: Simplify right side
    187.00x = 49,286.05
  5. Step 5: Solve for x
    x = 49,286.05/187.00
  6. Step 6: Final answer
    x = 263.57

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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.