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Finding the Fourth Proportional to 431.63, 645.99 and 248.75

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Solution

The fourth proportional to 431.63, 645.99 and 248.75 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 645.99 = 248.75 : x
  2. Step 2: Convert to fraction form
    431.63/645.99 = 248.75/x
  3. Step 3: Cross multiply
    431.63x = 645.99 × 248.75
  4. Step 4: Simplify right side
    431.63x = 160,690.01
  5. Step 5: Solve for x
    x = 160,690.01/431.63
  6. Step 6: Final answer
    x = 372.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.