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Finding the Fourth Proportional to 444.60, 614.04 and 346.22

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Solution

The fourth proportional to 444.60, 614.04 and 346.22 is: 478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.60 : 614.04 = 346.22 : x
  2. Step 2: Convert to fraction form
    444.60/614.04 = 346.22/x
  3. Step 3: Cross multiply
    444.60x = 614.04 × 346.22
  4. Step 4: Simplify right side
    444.60x = 212,591.77
  5. Step 5: Solve for x
    x = 212,591.77/444.60
  6. Step 6: Final answer
    x = 478.16

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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.