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Finding the Fourth Proportional to 294.89, 403.16 and 283.55

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Solution

The fourth proportional to 294.89, 403.16 and 283.55 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 403.16 = 283.55 : x
  2. Step 2: Convert to fraction form
    294.89/403.16 = 283.55/x
  3. Step 3: Cross multiply
    294.89x = 403.16 × 283.55
  4. Step 4: Simplify right side
    294.89x = 114,312.58
  5. Step 5: Solve for x
    x = 114,312.58/294.89
  6. Step 6: Final answer
    x = 387.65

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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.