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Finding the Fourth Proportional to 226.18, 312.11 and 152.38

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Solution

The fourth proportional to 226.18, 312.11 and 152.38 is: 210.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.18 : 312.11 = 152.38 : x
  2. Step 2: Convert to fraction form
    226.18/312.11 = 152.38/x
  3. Step 3: Cross multiply
    226.18x = 312.11 × 152.38
  4. Step 4: Simplify right side
    226.18x = 47,557.76
  5. Step 5: Solve for x
    x = 47,557.76/226.18
  6. Step 6: Final answer
    x = 210.27

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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.