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Finding the Fourth Proportional to 488.23, 672.68 and 322.15

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Solution

The fourth proportional to 488.23, 672.68 and 322.15 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.23 : 672.68 = 322.15 : x
  2. Step 2: Convert to fraction form
    488.23/672.68 = 322.15/x
  3. Step 3: Cross multiply
    488.23x = 672.68 × 322.15
  4. Step 4: Simplify right side
    488.23x = 216,703.86
  5. Step 5: Solve for x
    x = 216,703.86/488.23
  6. Step 6: Final answer
    x = 443.86

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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.