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Finding the Fourth Proportional to 457.08, 630.74 and 250.08

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Solution

The fourth proportional to 457.08, 630.74 and 250.08 is: 345.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.08 : 630.74 = 250.08 : x
  2. Step 2: Convert to fraction form
    457.08/630.74 = 250.08/x
  3. Step 3: Cross multiply
    457.08x = 630.74 × 250.08
  4. Step 4: Simplify right side
    457.08x = 157,735.46
  5. Step 5: Solve for x
    x = 157,735.46/457.08
  6. Step 6: Final answer
    x = 345.09

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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.