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Finding the Fourth Proportional to 302.80, 416.98 and 269.68

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Solution

The fourth proportional to 302.80, 416.98 and 269.68 is: 371.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 416.98 = 269.68 : x
  2. Step 2: Convert to fraction form
    302.80/416.98 = 269.68/x
  3. Step 3: Cross multiply
    302.80x = 416.98 × 269.68
  4. Step 4: Simplify right side
    302.80x = 112,451.17
  5. Step 5: Solve for x
    x = 112,451.17/302.80
  6. Step 6: Final answer
    x = 371.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.