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Finding the Fourth Proportional to 186.24, 278.26 and 138.16

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Solution

The fourth proportional to 186.24, 278.26 and 138.16 is: 206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.24 : 278.26 = 138.16 : x
  2. Step 2: Convert to fraction form
    186.24/278.26 = 138.16/x
  3. Step 3: Cross multiply
    186.24x = 278.26 × 138.16
  4. Step 4: Simplify right side
    186.24x = 38,444.40
  5. Step 5: Solve for x
    x = 38,444.40/186.24
  6. Step 6: Final answer
    x = 206.42

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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.