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Finding the Fourth Proportional to 437.22, 653.41 and 320.33

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Solution

The fourth proportional to 437.22, 653.41 and 320.33 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.22 : 653.41 = 320.33 : x
  2. Step 2: Convert to fraction form
    437.22/653.41 = 320.33/x
  3. Step 3: Cross multiply
    437.22x = 653.41 × 320.33
  4. Step 4: Simplify right side
    437.22x = 209,306.83
  5. Step 5: Solve for x
    x = 209,306.83/437.22
  6. Step 6: Final answer
    x = 478.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.