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Finding the Fourth Proportional to 868.09, 1,302.13 and 319.99

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Solution

The fourth proportional to 868.09, 1,302.13 and 319.99 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.09 : 1,302.13 = 319.99 : x
  2. Step 2: Convert to fraction form
    868.09/1,302.13 = 319.99/x
  3. Step 3: Cross multiply
    868.09x = 1,302.13 × 319.99
  4. Step 4: Simplify right side
    868.09x = 416,662.07
  5. Step 5: Solve for x
    x = 416,662.07/868.09
  6. Step 6: Final answer
    x = 479.98

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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.