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Finding the Fourth Proportional to 291.12, 434.57 and 252.71

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Solution

The fourth proportional to 291.12, 434.57 and 252.71 is: 377.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 434.57 = 252.71 : x
  2. Step 2: Convert to fraction form
    291.12/434.57 = 252.71/x
  3. Step 3: Cross multiply
    291.12x = 434.57 × 252.71
  4. Step 4: Simplify right side
    291.12x = 109,820.18
  5. Step 5: Solve for x
    x = 109,820.18/291.12
  6. Step 6: Final answer
    x = 377.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.