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Finding the Fourth Proportional to 465.10, 696.52 and 248.20

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Solution

The fourth proportional to 465.10, 696.52 and 248.20 is: 371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.10 : 696.52 = 248.20 : x
  2. Step 2: Convert to fraction form
    465.10/696.52 = 248.20/x
  3. Step 3: Cross multiply
    465.10x = 696.52 × 248.20
  4. Step 4: Simplify right side
    465.10x = 172,876.26
  5. Step 5: Solve for x
    x = 172,876.26/465.10
  6. Step 6: Final answer
    x = 371.70

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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.