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Finding the Fourth Proportional to 431.74, 595.90 and 254.72

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Solution

The fourth proportional to 431.74, 595.90 and 254.72 is: 351.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.74 : 595.90 = 254.72 : x
  2. Step 2: Convert to fraction form
    431.74/595.90 = 254.72/x
  3. Step 3: Cross multiply
    431.74x = 595.90 × 254.72
  4. Step 4: Simplify right side
    431.74x = 151,787.65
  5. Step 5: Solve for x
    x = 151,787.65/431.74
  6. Step 6: Final answer
    x = 351.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.