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Finding the Fourth Proportional to 263.58, 362.82 and 229.02

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Solution

The fourth proportional to 263.58, 362.82 and 229.02 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.58 : 362.82 = 229.02 : x
  2. Step 2: Convert to fraction form
    263.58/362.82 = 229.02/x
  3. Step 3: Cross multiply
    263.58x = 362.82 × 229.02
  4. Step 4: Simplify right side
    263.58x = 83,093.04
  5. Step 5: Solve for x
    x = 83,093.04/263.58
  6. Step 6: Final answer
    x = 315.25

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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.