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Finding the Fourth Proportional to 154.31, 211.41 and 152.69

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Solution

The fourth proportional to 154.31, 211.41 and 152.69 is: 209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.31 : 211.41 = 152.69 : x
  2. Step 2: Convert to fraction form
    154.31/211.41 = 152.69/x
  3. Step 3: Cross multiply
    154.31x = 211.41 × 152.69
  4. Step 4: Simplify right side
    154.31x = 32,279.14
  5. Step 5: Solve for x
    x = 32,279.14/154.31
  6. Step 6: Final answer
    x = 209.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.