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Finding the Fourth Proportional to 153.37, 231.12 and 138.93

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Solution

The fourth proportional to 153.37, 231.12 and 138.93 is: 209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.37 : 231.12 = 138.93 : x
  2. Step 2: Convert to fraction form
    153.37/231.12 = 138.93/x
  3. Step 3: Cross multiply
    153.37x = 231.12 × 138.93
  4. Step 4: Simplify right side
    153.37x = 32,109.50
  5. Step 5: Solve for x
    x = 32,109.50/153.37
  6. Step 6: Final answer
    x = 209.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.