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Finding the Fourth Proportional to 291.49, 433.75 and 281.56

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Solution

The fourth proportional to 291.49, 433.75 and 281.56 is: 418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.49 : 433.75 = 281.56 : x
  2. Step 2: Convert to fraction form
    291.49/433.75 = 281.56/x
  3. Step 3: Cross multiply
    291.49x = 433.75 × 281.56
  4. Step 4: Simplify right side
    291.49x = 122,126.65
  5. Step 5: Solve for x
    x = 122,126.65/291.49
  6. Step 6: Final answer
    x = 418.97

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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.