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Finding the Fourth Proportional to 294.62, 403.57 and 291.38

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Solution

The fourth proportional to 294.62, 403.57 and 291.38 is: 399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.62 : 403.57 = 291.38 : x
  2. Step 2: Convert to fraction form
    294.62/403.57 = 291.38/x
  3. Step 3: Cross multiply
    294.62x = 403.57 × 291.38
  4. Step 4: Simplify right side
    294.62x = 117,590.57
  5. Step 5: Solve for x
    x = 117,590.57/294.62
  6. Step 6: Final answer
    x = 399.13

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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.