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Finding the Fourth Proportional to 291.89, 434.63 and 267.39

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Solution

The fourth proportional to 291.89, 434.63 and 267.39 is: 398.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.89 : 434.63 = 267.39 : x
  2. Step 2: Convert to fraction form
    291.89/434.63 = 267.39/x
  3. Step 3: Cross multiply
    291.89x = 434.63 × 267.39
  4. Step 4: Simplify right side
    291.89x = 116,216.38
  5. Step 5: Solve for x
    x = 116,216.38/291.89
  6. Step 6: Final answer
    x = 398.15

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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.