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Finding the Fourth Proportional to 226.25, 312.24 and 128

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Solution

The fourth proportional to 226.25, 312.24 and 128 is: 176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.25 : 312.24 = 128 : x
  2. Step 2: Convert to fraction form
    226.25/312.24 = 128/x
  3. Step 3: Cross multiply
    226.25x = 312.24 × 128
  4. Step 4: Simplify right side
    226.25x = 39,966.72
  5. Step 5: Solve for x
    x = 39,966.72/226.25
  6. Step 6: Final answer
    x = 176.65

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1.5x scale

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.