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Finding the Fourth Proportional to 420.25, 630.38 and 116.25

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Solution

The fourth proportional to 420.25, 630.38 and 116.25 is: 174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.25 : 630.38 = 116.25 : x
  2. Step 2: Convert to fraction form
    420.25/630.38 = 116.25/x
  3. Step 3: Cross multiply
    420.25x = 630.38 × 116.25
  4. Step 4: Simplify right side
    420.25x = 73,281.68
  5. Step 5: Solve for x
    x = 73,281.68/420.25
  6. Step 6: Final answer
    x = 174.38

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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.