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Finding the Fourth Proportional to 444.32, 613.25 and 257.87

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Solution

The fourth proportional to 444.32, 613.25 and 257.87 is: 355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 613.25 = 257.87 : x
  2. Step 2: Convert to fraction form
    444.32/613.25 = 257.87/x
  3. Step 3: Cross multiply
    444.32x = 613.25 × 257.87
  4. Step 4: Simplify right side
    444.32x = 158,134.42
  5. Step 5: Solve for x
    x = 158,134.42/444.32
  6. Step 6: Final answer
    x = 355.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.