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Finding the Fourth Proportional to 294.64, 401.25 and 292.82

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Solution

The fourth proportional to 294.64, 401.25 and 292.82 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.64 : 401.25 = 292.82 : x
  2. Step 2: Convert to fraction form
    294.64/401.25 = 292.82/x
  3. Step 3: Cross multiply
    294.64x = 401.25 × 292.82
  4. Step 4: Simplify right side
    294.64x = 117,493.12
  5. Step 5: Solve for x
    x = 117,493.12/294.64
  6. Step 6: Final answer
    x = 398.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.