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Finding the Fourth Proportional to 342.73, 512.02 and 319.95

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Solution

The fourth proportional to 342.73, 512.02 and 319.95 is: 477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.73 : 512.02 = 319.95 : x
  2. Step 2: Convert to fraction form
    342.73/512.02 = 319.95/x
  3. Step 3: Cross multiply
    342.73x = 512.02 × 319.95
  4. Step 4: Simplify right side
    342.73x = 163,821.20
  5. Step 5: Solve for x
    x = 163,821.20/342.73
  6. Step 6: Final answer
    x = 477.99

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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.