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Finding the Fourth Proportional to 446.56, 615.34 and 402.22

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Solution

The fourth proportional to 446.56, 615.34 and 402.22 is: 554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.56 : 615.34 = 402.22 : x
  2. Step 2: Convert to fraction form
    446.56/615.34 = 402.22/x
  3. Step 3: Cross multiply
    446.56x = 615.34 × 402.22
  4. Step 4: Simplify right side
    446.56x = 247,502.05
  5. Step 5: Solve for x
    x = 247,502.05/446.56
  6. Step 6: Final answer
    x = 554.24

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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.