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Finding the Fourth Proportional to 153.95, 229.68 and 138.56

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Solution

The fourth proportional to 153.95, 229.68 and 138.56 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.95 : 229.68 = 138.56 : x
  2. Step 2: Convert to fraction form
    153.95/229.68 = 138.56/x
  3. Step 3: Cross multiply
    153.95x = 229.68 × 138.56
  4. Step 4: Simplify right side
    153.95x = 31,823.31
  5. Step 5: Solve for x
    x = 31,823.31/153.95
  6. Step 6: Final answer
    x = 206.72

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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.