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Finding the Fourth Proportional to 294.49, 403.40 and 291.25

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Solution

The fourth proportional to 294.49, 403.40 and 291.25 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.49 : 403.40 = 291.25 : x
  2. Step 2: Convert to fraction form
    294.49/403.40 = 291.25/x
  3. Step 3: Cross multiply
    294.49x = 403.40 × 291.25
  4. Step 4: Simplify right side
    294.49x = 117,490.25
  5. Step 5: Solve for x
    x = 117,490.25/294.49
  6. Step 6: Final answer
    x = 398.96

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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.