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Finding the Fourth Proportional to 492.07, 738.15 and 260.79

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Solution

The fourth proportional to 492.07, 738.15 and 260.79 is: 391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.07 : 738.15 = 260.79 : x
  2. Step 2: Convert to fraction form
    492.07/738.15 = 260.79/x
  3. Step 3: Cross multiply
    492.07x = 738.15 × 260.79
  4. Step 4: Simplify right side
    492.07x = 192,500.83
  5. Step 5: Solve for x
    x = 192,500.83/492.07
  6. Step 6: Final answer
    x = 391.21

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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.