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Finding the Fourth Proportional to 291.28, 433.98 and 275.79

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Solution

The fourth proportional to 291.28, 433.98 and 275.79 is: 410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.28 : 433.98 = 275.79 : x
  2. Step 2: Convert to fraction form
    291.28/433.98 = 275.79/x
  3. Step 3: Cross multiply
    291.28x = 433.98 × 275.79
  4. Step 4: Simplify right side
    291.28x = 119,687.34
  5. Step 5: Solve for x
    x = 119,687.34/291.28
  6. Step 6: Final answer
    x = 410.90

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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.