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Finding the Fourth Proportional to 444.52, 614.28 and 378.10

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Solution

The fourth proportional to 444.52, 614.28 and 378.10 is: 522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.52 : 614.28 = 378.10 : x
  2. Step 2: Convert to fraction form
    444.52/614.28 = 378.10/x
  3. Step 3: Cross multiply
    444.52x = 614.28 × 378.10
  4. Step 4: Simplify right side
    444.52x = 232,259.27
  5. Step 5: Solve for x
    x = 232,259.27/444.52
  6. Step 6: Final answer
    x = 522.49

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