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Finding the Fourth Proportional to 152.28, 226.80 and 144

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Solution

The fourth proportional to 152.28, 226.80 and 144 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.28 : 226.80 = 144 : x
  2. Step 2: Convert to fraction form
    152.28/226.80 = 144/x
  3. Step 3: Cross multiply
    152.28x = 226.80 × 144
  4. Step 4: Simplify right side
    152.28x = 32,659.20
  5. Step 5: Solve for x
    x = 32,659.20/152.28
  6. Step 6: Final answer
    x = 214.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.