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Finding the Fourth Proportional to 215.31, 297.23 and 136.71

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Solution

The fourth proportional to 215.31, 297.23 and 136.71 is: 188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.31 : 297.23 = 136.71 : x
  2. Step 2: Convert to fraction form
    215.31/297.23 = 136.71/x
  3. Step 3: Cross multiply
    215.31x = 297.23 × 136.71
  4. Step 4: Simplify right side
    215.31x = 40,634.31
  5. Step 5: Solve for x
    x = 40,634.31/215.31
  6. Step 6: Final answer
    x = 188.72

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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.