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Finding the Fourth Proportional to 186.10, 278.80 and 117.63

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Solution

The fourth proportional to 186.10, 278.80 and 117.63 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.10 : 278.80 = 117.63 : x
  2. Step 2: Convert to fraction form
    186.10/278.80 = 117.63/x
  3. Step 3: Cross multiply
    186.10x = 278.80 × 117.63
  4. Step 4: Simplify right side
    186.10x = 32,794.95
  5. Step 5: Solve for x
    x = 32,794.95/186.10
  6. Step 6: Final answer
    x = 176.22

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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.