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Finding the Fourth Proportional to 294.32, 403.26 and 290.48

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Solution

The fourth proportional to 294.32, 403.26 and 290.48 is: 398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.32 : 403.26 = 290.48 : x
  2. Step 2: Convert to fraction form
    294.32/403.26 = 290.48/x
  3. Step 3: Cross multiply
    294.32x = 403.26 × 290.48
  4. Step 4: Simplify right side
    294.32x = 117,138.96
  5. Step 5: Solve for x
    x = 117,138.96/294.32
  6. Step 6: Final answer
    x = 398.00

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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.