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Finding the Fourth Proportional to 268.35, 402.38 and 85.70

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Solution

The fourth proportional to 268.35, 402.38 and 85.70 is: 128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.35 : 402.38 = 85.70 : x
  2. Step 2: Convert to fraction form
    268.35/402.38 = 85.70/x
  3. Step 3: Cross multiply
    268.35x = 402.38 × 85.70
  4. Step 4: Simplify right side
    268.35x = 34,483.97
  5. Step 5: Solve for x
    x = 34,483.97/268.35
  6. Step 6: Final answer
    x = 128.50

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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.