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Finding the Fourth Proportional to 444.96, 614.05 and 258.57

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Solution

The fourth proportional to 444.96, 614.05 and 258.57 is: 356.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 614.05 = 258.57 : x
  2. Step 2: Convert to fraction form
    444.96/614.05 = 258.57/x
  3. Step 3: Cross multiply
    444.96x = 614.05 × 258.57
  4. Step 4: Simplify right side
    444.96x = 158,772.54
  5. Step 5: Solve for x
    x = 158,772.54/444.96
  6. Step 6: Final answer
    x = 356.82

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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.