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Finding the Fourth Proportional to 444.40, 612.29 and 296.78

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Solution

The fourth proportional to 444.40, 612.29 and 296.78 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.40 : 612.29 = 296.78 : x
  2. Step 2: Convert to fraction form
    444.40/612.29 = 296.78/x
  3. Step 3: Cross multiply
    444.40x = 612.29 × 296.78
  4. Step 4: Simplify right side
    444.40x = 181,713.11
  5. Step 5: Solve for x
    x = 181,713.11/444.40
  6. Step 6: Final answer
    x = 408.90

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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.