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Finding the Fourth Proportional to 488.84, 732.70 and 269.24

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Solution

The fourth proportional to 488.84, 732.70 and 269.24 is: 403.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.84 : 732.70 = 269.24 : x
  2. Step 2: Convert to fraction form
    488.84/732.70 = 269.24/x
  3. Step 3: Cross multiply
    488.84x = 732.70 × 269.24
  4. Step 4: Simplify right side
    488.84x = 197,272.15
  5. Step 5: Solve for x
    x = 197,272.15/488.84
  6. Step 6: Final answer
    x = 403.55

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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.