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Finding the Fourth Proportional to 215.97, 298.28 and 167.06

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Solution

The fourth proportional to 215.97, 298.28 and 167.06 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.97 : 298.28 = 167.06 : x
  2. Step 2: Convert to fraction form
    215.97/298.28 = 167.06/x
  3. Step 3: Cross multiply
    215.97x = 298.28 × 167.06
  4. Step 4: Simplify right side
    215.97x = 49,831.82
  5. Step 5: Solve for x
    x = 49,831.82/215.97
  6. Step 6: Final answer
    x = 230.74

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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.