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Finding the Fourth Proportional to 269.70, 402.83 and 235.68

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Solution

The fourth proportional to 269.70, 402.83 and 235.68 is: 352.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.70 : 402.83 = 235.68 : x
  2. Step 2: Convert to fraction form
    269.70/402.83 = 235.68/x
  3. Step 3: Cross multiply
    269.70x = 402.83 × 235.68
  4. Step 4: Simplify right side
    269.70x = 94,937.80
  5. Step 5: Solve for x
    x = 94,937.80/269.70
  6. Step 6: Final answer
    x = 352.01

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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.