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Finding the Fourth Proportional to 268.71, 403.12 and 90.63

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Solution

The fourth proportional to 268.71, 403.12 and 90.63 is: 135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 403.12 = 90.63 : x
  2. Step 2: Convert to fraction form
    268.71/403.12 = 90.63/x
  3. Step 3: Cross multiply
    268.71x = 403.12 × 90.63
  4. Step 4: Simplify right side
    268.71x = 36,532.75
  5. Step 5: Solve for x
    x = 36,532.75/268.71
  6. Step 6: Final answer
    x = 135.96

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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.