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Finding the Fourth Proportional to 342.48, 510.60 and 327.96

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Solution

The fourth proportional to 342.48, 510.60 and 327.96 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 510.60 = 327.96 : x
  2. Step 2: Convert to fraction form
    342.48/510.60 = 327.96/x
  3. Step 3: Cross multiply
    342.48x = 510.60 × 327.96
  4. Step 4: Simplify right side
    342.48x = 167,456.38
  5. Step 5: Solve for x
    x = 167,456.38/342.48
  6. Step 6: Final answer
    x = 488.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.