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Finding the Fourth Proportional to 226.81, 313.33 and 153.45

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Solution

The fourth proportional to 226.81, 313.33 and 153.45 is: 211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.81 : 313.33 = 153.45 : x
  2. Step 2: Convert to fraction form
    226.81/313.33 = 153.45/x
  3. Step 3: Cross multiply
    226.81x = 313.33 × 153.45
  4. Step 4: Simplify right side
    226.81x = 48,080.10
  5. Step 5: Solve for x
    x = 48,080.10/226.81
  6. Step 6: Final answer
    x = 211.99

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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.