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Finding the Fourth Proportional to 431.80, 647.88 and 269.28

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Solution

The fourth proportional to 431.80, 647.88 and 269.28 is: 404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.80 : 647.88 = 269.28 : x
  2. Step 2: Convert to fraction form
    431.80/647.88 = 269.28/x
  3. Step 3: Cross multiply
    431.80x = 647.88 × 269.28
  4. Step 4: Simplify right side
    431.80x = 174,461.13
  5. Step 5: Solve for x
    x = 174,461.13/431.80
  6. Step 6: Final answer
    x = 404.03

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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.