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Finding the Fourth Proportional to 446.28, 614.82 and 402.60

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Solution

The fourth proportional to 446.28, 614.82 and 402.60 is: 554.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.28 : 614.82 = 402.60 : x
  2. Step 2: Convert to fraction form
    446.28/614.82 = 402.60/x
  3. Step 3: Cross multiply
    446.28x = 614.82 × 402.60
  4. Step 4: Simplify right side
    446.28x = 247,526.53
  5. Step 5: Solve for x
    x = 247,526.53/446.28
  6. Step 6: Final answer
    x = 554.64

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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.