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Finding the Fourth Proportional to 291.80, 435.15 and 274.76

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Solution

The fourth proportional to 291.80, 435.15 and 274.76 is: 409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 435.15 = 274.76 : x
  2. Step 2: Convert to fraction form
    291.80/435.15 = 274.76/x
  3. Step 3: Cross multiply
    291.80x = 435.15 × 274.76
  4. Step 4: Simplify right side
    291.80x = 119,560.44
  5. Step 5: Solve for x
    x = 119,560.44/291.80
  6. Step 6: Final answer
    x = 409.73

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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.