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Finding the Fourth Proportional to 187.36, 279.12 and 178.66

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Solution

The fourth proportional to 187.36, 279.12 and 178.66 is: 266.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 279.12 = 178.66 : x
  2. Step 2: Convert to fraction form
    187.36/279.12 = 178.66/x
  3. Step 3: Cross multiply
    187.36x = 279.12 × 178.66
  4. Step 4: Simplify right side
    187.36x = 49,867.58
  5. Step 5: Solve for x
    x = 49,867.58/187.36
  6. Step 6: Final answer
    x = 266.16

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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.