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Finding the Fourth Proportional to 460.70, 635.75 and 250.87

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Solution

The fourth proportional to 460.70, 635.75 and 250.87 is: 346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 635.75 = 250.87 : x
  2. Step 2: Convert to fraction form
    460.70/635.75 = 250.87/x
  3. Step 3: Cross multiply
    460.70x = 635.75 × 250.87
  4. Step 4: Simplify right side
    460.70x = 159,490.60
  5. Step 5: Solve for x
    x = 159,490.60/460.70
  6. Step 6: Final answer
    x = 346.20

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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.