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Finding the Fourth Proportional to 444.95, 614.36 and 314.14

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Solution

The fourth proportional to 444.95, 614.36 and 314.14 is: 433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.95 : 614.36 = 314.14 : x
  2. Step 2: Convert to fraction form
    444.95/614.36 = 314.14/x
  3. Step 3: Cross multiply
    444.95x = 614.36 × 314.14
  4. Step 4: Simplify right side
    444.95x = 192,990.41
  5. Step 5: Solve for x
    x = 192,990.41/444.95
  6. Step 6: Final answer
    x = 433.74

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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.