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Finding the Fourth Proportional to 401.79, 602.13 and 269.83

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Solution

The fourth proportional to 401.79, 602.13 and 269.83 is: 404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.79 : 602.13 = 269.83 : x
  2. Step 2: Convert to fraction form
    401.79/602.13 = 269.83/x
  3. Step 3: Cross multiply
    401.79x = 602.13 × 269.83
  4. Step 4: Simplify right side
    401.79x = 162,474.50
  5. Step 5: Solve for x
    x = 162,474.50/401.79
  6. Step 6: Final answer
    x = 404.37

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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.