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Finding the Fourth Proportional to 186.17, 278.90 and 105.07

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Solution

The fourth proportional to 186.17, 278.90 and 105.07 is: 157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.17 : 278.90 = 105.07 : x
  2. Step 2: Convert to fraction form
    186.17/278.90 = 105.07/x
  3. Step 3: Cross multiply
    186.17x = 278.90 × 105.07
  4. Step 4: Simplify right side
    186.17x = 29,304.02
  5. Step 5: Solve for x
    x = 29,304.02/186.17
  6. Step 6: Final answer
    x = 157.40

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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.