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Finding the Fourth Proportional to 226.47, 312.50 and 128.21

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Solution

The fourth proportional to 226.47, 312.50 and 128.21 is: 176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.47 : 312.50 = 128.21 : x
  2. Step 2: Convert to fraction form
    226.47/312.50 = 128.21/x
  3. Step 3: Cross multiply
    226.47x = 312.50 × 128.21
  4. Step 4: Simplify right side
    226.47x = 40,065.63
  5. Step 5: Solve for x
    x = 40,065.63/226.47
  6. Step 6: Final answer
    x = 176.91

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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.