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Finding the Fourth Proportional to 444.96, 614.16 and 347.40

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Solution

The fourth proportional to 444.96, 614.16 and 347.40 is: 479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.96 : 614.16 = 347.40 : x
  2. Step 2: Convert to fraction form
    444.96/614.16 = 347.40/x
  3. Step 3: Cross multiply
    444.96x = 614.16 × 347.40
  4. Step 4: Simplify right side
    444.96x = 213,359.18
  5. Step 5: Solve for x
    x = 213,359.18/444.96
  6. Step 6: Final answer
    x = 479.50

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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.