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Finding the Fourth Proportional to 867.23, 1,301.36 and 319.80

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Solution

The fourth proportional to 867.23, 1,301.36 and 319.80 is: 479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.23 : 1,301.36 = 319.80 : x
  2. Step 2: Convert to fraction form
    867.23/1,301.36 = 319.80/x
  3. Step 3: Cross multiply
    867.23x = 1,301.36 × 319.80
  4. Step 4: Simplify right side
    867.23x = 416,174.93
  5. Step 5: Solve for x
    x = 416,174.93/867.23
  6. Step 6: Final answer
    x = 479.89

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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.