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Finding the Fourth Proportional to 213.17, 319.51 and 121.66

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Solution

The fourth proportional to 213.17, 319.51 and 121.66 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.17 : 319.51 = 121.66 : x
  2. Step 2: Convert to fraction form
    213.17/319.51 = 121.66/x
  3. Step 3: Cross multiply
    213.17x = 319.51 × 121.66
  4. Step 4: Simplify right side
    213.17x = 38,871.59
  5. Step 5: Solve for x
    x = 38,871.59/213.17
  6. Step 6: Final answer
    x = 182.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.