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Finding the Fourth Proportional to 322.56, 484.70 and 176.41

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Solution

The fourth proportional to 322.56, 484.70 and 176.41 is: 265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.56 : 484.70 = 176.41 : x
  2. Step 2: Convert to fraction form
    322.56/484.70 = 176.41/x
  3. Step 3: Cross multiply
    322.56x = 484.70 × 176.41
  4. Step 4: Simplify right side
    322.56x = 85,503.83
  5. Step 5: Solve for x
    x = 85,503.83/322.56
  6. Step 6: Final answer
    x = 265.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.