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Finding the Fourth Proportional to 263.98, 396.16 and 101.70

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Solution

The fourth proportional to 263.98, 396.16 and 101.70 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.98 : 396.16 = 101.70 : x
  2. Step 2: Convert to fraction form
    263.98/396.16 = 101.70/x
  3. Step 3: Cross multiply
    263.98x = 396.16 × 101.70
  4. Step 4: Simplify right side
    263.98x = 40,289.47
  5. Step 5: Solve for x
    x = 40,289.47/263.98
  6. Step 6: Final answer
    x = 152.62

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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.