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Finding the Fourth Proportional to 294.46, 439.51 and 259.86

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Solution

The fourth proportional to 294.46, 439.51 and 259.86 is: 387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.46 : 439.51 = 259.86 : x
  2. Step 2: Convert to fraction form
    294.46/439.51 = 259.86/x
  3. Step 3: Cross multiply
    294.46x = 439.51 × 259.86
  4. Step 4: Simplify right side
    294.46x = 114,211.07
  5. Step 5: Solve for x
    x = 114,211.07/294.46
  6. Step 6: Final answer
    x = 387.87

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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.