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Finding the Fourth Proportional to 291.60, 402.78 and 230.19

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Solution

The fourth proportional to 291.60, 402.78 and 230.19 is: 317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.60 : 402.78 = 230.19 : x
  2. Step 2: Convert to fraction form
    291.60/402.78 = 230.19/x
  3. Step 3: Cross multiply
    291.60x = 402.78 × 230.19
  4. Step 4: Simplify right side
    291.60x = 92,715.93
  5. Step 5: Solve for x
    x = 92,715.93/291.60
  6. Step 6: Final answer
    x = 317.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.