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Finding the Fourth Proportional to 312.29, 468.21 and 129.53

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Solution

The fourth proportional to 312.29, 468.21 and 129.53 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.29 : 468.21 = 129.53 : x
  2. Step 2: Convert to fraction form
    312.29/468.21 = 129.53/x
  3. Step 3: Cross multiply
    312.29x = 468.21 × 129.53
  4. Step 4: Simplify right side
    312.29x = 60,648.90
  5. Step 5: Solve for x
    x = 60,648.90/312.29
  6. Step 6: Final answer
    x = 194.21

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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.