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Finding the Fourth Proportional to 320.24, 477.73 and 269.21

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Solution

The fourth proportional to 320.24, 477.73 and 269.21 is: 401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.24 : 477.73 = 269.21 : x
  2. Step 2: Convert to fraction form
    320.24/477.73 = 269.21/x
  3. Step 3: Cross multiply
    320.24x = 477.73 × 269.21
  4. Step 4: Simplify right side
    320.24x = 128,609.69
  5. Step 5: Solve for x
    x = 128,609.69/320.24
  6. Step 6: Final answer
    x = 401.60

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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.