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Finding the Fourth Proportional to 153.54, 229.14 and 138.18

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Solution

The fourth proportional to 153.54, 229.14 and 138.18 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.54 : 229.14 = 138.18 : x
  2. Step 2: Convert to fraction form
    153.54/229.14 = 138.18/x
  3. Step 3: Cross multiply
    153.54x = 229.14 × 138.18
  4. Step 4: Simplify right side
    153.54x = 31,662.57
  5. Step 5: Solve for x
    x = 31,662.57/153.54
  6. Step 6: Final answer
    x = 206.22

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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.