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Finding the Fourth Proportional to 342.15, 512.85 and 260.73

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Solution

The fourth proportional to 342.15, 512.85 and 260.73 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.15 : 512.85 = 260.73 : x
  2. Step 2: Convert to fraction form
    342.15/512.85 = 260.73/x
  3. Step 3: Cross multiply
    342.15x = 512.85 × 260.73
  4. Step 4: Simplify right side
    342.15x = 133,715.38
  5. Step 5: Solve for x
    x = 133,715.38/342.15
  6. Step 6: Final answer
    x = 390.81

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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.