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Finding the Fourth Proportional to 153.93, 229.69 and 138.57

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Solution

The fourth proportional to 153.93, 229.69 and 138.57 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.93 : 229.69 = 138.57 : x
  2. Step 2: Convert to fraction form
    153.93/229.69 = 138.57/x
  3. Step 3: Cross multiply
    153.93x = 229.69 × 138.57
  4. Step 4: Simplify right side
    153.93x = 31,828.14
  5. Step 5: Solve for x
    x = 31,828.14/153.93
  6. Step 6: Final answer
    x = 206.77

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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.