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Finding the Fourth Proportional to 263.45, 362.98 and 214.25

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Solution

The fourth proportional to 263.45, 362.98 and 214.25 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.45 : 362.98 = 214.25 : x
  2. Step 2: Convert to fraction form
    263.45/362.98 = 214.25/x
  3. Step 3: Cross multiply
    263.45x = 362.98 × 214.25
  4. Step 4: Simplify right side
    263.45x = 77,766.92
  5. Step 5: Solve for x
    x = 77,766.92/263.45
  6. Step 6: Final answer
    x = 295.18

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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.