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Finding the Fourth Proportional to 868.39, 1,302.59 and 219.11

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Solution

The fourth proportional to 868.39, 1,302.59 and 219.11 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.39 : 1,302.59 = 219.11 : x
  2. Step 2: Convert to fraction form
    868.39/1,302.59 = 219.11/x
  3. Step 3: Cross multiply
    868.39x = 1,302.59 × 219.11
  4. Step 4: Simplify right side
    868.39x = 285,404.53
  5. Step 5: Solve for x
    x = 285,404.53/868.39
  6. Step 6: Final answer
    x = 328.66

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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.