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Finding the Fourth Proportional to 293.67, 402.57 and 290.95

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Solution

The fourth proportional to 293.67, 402.57 and 290.95 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 402.57 = 290.95 : x
  2. Step 2: Convert to fraction form
    293.67/402.57 = 290.95/x
  3. Step 3: Cross multiply
    293.67x = 402.57 × 290.95
  4. Step 4: Simplify right side
    293.67x = 117,126.74
  5. Step 5: Solve for x
    x = 117,126.74/293.67
  6. Step 6: Final answer
    x = 398.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.