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Finding the Fourth Proportional to 342.50, 472.84 and 226.40

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Solution

The fourth proportional to 342.50, 472.84 and 226.40 is: 312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.50 : 472.84 = 226.40 : x
  2. Step 2: Convert to fraction form
    342.50/472.84 = 226.40/x
  3. Step 3: Cross multiply
    342.50x = 472.84 × 226.40
  4. Step 4: Simplify right side
    342.50x = 107,048.05
  5. Step 5: Solve for x
    x = 107,048.05/342.50
  6. Step 6: Final answer
    x = 312.55

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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.