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Finding the Fourth Proportional to 302.81, 451.87 and 268.18

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Solution

The fourth proportional to 302.81, 451.87 and 268.18 is: 400.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.81 : 451.87 = 268.18 : x
  2. Step 2: Convert to fraction form
    302.81/451.87 = 268.18/x
  3. Step 3: Cross multiply
    302.81x = 451.87 × 268.18
  4. Step 4: Simplify right side
    302.81x = 121,180.70
  5. Step 5: Solve for x
    x = 121,180.70/302.81
  6. Step 6: Final answer
    x = 400.19

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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.