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Finding the Fourth Proportional to 153.80, 212.48 and 115.48

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Solution

The fourth proportional to 153.80, 212.48 and 115.48 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 212.48 = 115.48 : x
  2. Step 2: Convert to fraction form
    153.80/212.48 = 115.48/x
  3. Step 3: Cross multiply
    153.80x = 212.48 × 115.48
  4. Step 4: Simplify right side
    153.80x = 24,537.19
  5. Step 5: Solve for x
    x = 24,537.19/153.80
  6. Step 6: Final answer
    x = 159.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.