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Finding the Fourth Proportional to 291.08, 434.49 and 266.78

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Solution

The fourth proportional to 291.08, 434.49 and 266.78 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.08 : 434.49 = 266.78 : x
  2. Step 2: Convert to fraction form
    291.08/434.49 = 266.78/x
  3. Step 3: Cross multiply
    291.08x = 434.49 × 266.78
  4. Step 4: Simplify right side
    291.08x = 115,913.24
  5. Step 5: Solve for x
    x = 115,913.24/291.08
  6. Step 6: Final answer
    x = 398.22

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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.