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Finding the Fourth Proportional to 291.69, 401.70 and 226.08

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Solution

The fourth proportional to 291.69, 401.70 and 226.08 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 401.70 = 226.08 : x
  2. Step 2: Convert to fraction form
    291.69/401.70 = 226.08/x
  3. Step 3: Cross multiply
    291.69x = 401.70 × 226.08
  4. Step 4: Simplify right side
    291.69x = 90,816.34
  5. Step 5: Solve for x
    x = 90,816.34/291.69
  6. Step 6: Final answer
    x = 311.35

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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.