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Finding the Fourth Proportional to 213.49, 319.95 and 97.76

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Solution

The fourth proportional to 213.49, 319.95 and 97.76 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.49 : 319.95 = 97.76 : x
  2. Step 2: Convert to fraction form
    213.49/319.95 = 97.76/x
  3. Step 3: Cross multiply
    213.49x = 319.95 × 97.76
  4. Step 4: Simplify right side
    213.49x = 31,278.31
  5. Step 5: Solve for x
    x = 31,278.31/213.49
  6. Step 6: Final answer
    x = 146.51

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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.