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Finding the Fourth Proportional to 186.02, 278.18 and 139.88

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Solution

The fourth proportional to 186.02, 278.18 and 139.88 is: 209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.02 : 278.18 = 139.88 : x
  2. Step 2: Convert to fraction form
    186.02/278.18 = 139.88/x
  3. Step 3: Cross multiply
    186.02x = 278.18 × 139.88
  4. Step 4: Simplify right side
    186.02x = 38,911.12
  5. Step 5: Solve for x
    x = 38,911.12/186.02
  6. Step 6: Final answer
    x = 209.18

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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.