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Finding the Fourth Proportional to 488.18, 673.24 and 322.56

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Solution

The fourth proportional to 488.18, 673.24 and 322.56 is: 444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.18 : 673.24 = 322.56 : x
  2. Step 2: Convert to fraction form
    488.18/673.24 = 322.56/x
  3. Step 3: Cross multiply
    488.18x = 673.24 × 322.56
  4. Step 4: Simplify right side
    488.18x = 217,160.29
  5. Step 5: Solve for x
    x = 217,160.29/488.18
  6. Step 6: Final answer
    x = 444.84

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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.