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Finding the Fourth Proportional to 268.97, 403.34 and 153.47

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Solution

The fourth proportional to 268.97, 403.34 and 153.47 is: 230.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.97 : 403.34 = 153.47 : x
  2. Step 2: Convert to fraction form
    268.97/403.34 = 153.47/x
  3. Step 3: Cross multiply
    268.97x = 403.34 × 153.47
  4. Step 4: Simplify right side
    268.97x = 61,898.56
  5. Step 5: Solve for x
    x = 61,898.56/268.97
  6. Step 6: Final answer
    x = 230.13

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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.