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Finding the Fourth Proportional to 269.15, 402.80 and 223.58

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Solution

The fourth proportional to 269.15, 402.80 and 223.58 is: 334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.15 : 402.80 = 223.58 : x
  2. Step 2: Convert to fraction form
    269.15/402.80 = 223.58/x
  3. Step 3: Cross multiply
    269.15x = 402.80 × 223.58
  4. Step 4: Simplify right side
    269.15x = 90,054.89
  5. Step 5: Solve for x
    x = 90,054.89/269.15
  6. Step 6: Final answer
    x = 334.60

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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.