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Finding the Fourth Proportional to 186.15, 278.63 and 117.37

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Solution

The fourth proportional to 186.15, 278.63 and 117.37 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.15 : 278.63 = 117.37 : x
  2. Step 2: Convert to fraction form
    186.15/278.63 = 117.37/x
  3. Step 3: Cross multiply
    186.15x = 278.63 × 117.37
  4. Step 4: Simplify right side
    186.15x = 32,702.80
  5. Step 5: Solve for x
    x = 32,702.80/186.15
  6. Step 6: Final answer
    x = 175.68

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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.