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Finding the Fourth Proportional to 187.08, 279.06 and 186.48

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Solution

The fourth proportional to 187.08, 279.06 and 186.48 is: 278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.08 : 279.06 = 186.48 : x
  2. Step 2: Convert to fraction form
    187.08/279.06 = 186.48/x
  3. Step 3: Cross multiply
    187.08x = 279.06 × 186.48
  4. Step 4: Simplify right side
    187.08x = 52,039.11
  5. Step 5: Solve for x
    x = 52,039.11/187.08
  6. Step 6: Final answer
    x = 278.17

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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.