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Finding the Fourth Proportional to 269.34, 401.84 and 235.04

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Solution

The fourth proportional to 269.34, 401.84 and 235.04 is: 350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.34 : 401.84 = 235.04 : x
  2. Step 2: Convert to fraction form
    269.34/401.84 = 235.04/x
  3. Step 3: Cross multiply
    269.34x = 401.84 × 235.04
  4. Step 4: Simplify right side
    269.34x = 94,448.47
  5. Step 5: Solve for x
    x = 94,448.47/269.34
  6. Step 6: Final answer
    x = 350.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.