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Finding the Fourth Proportional to 150.65, 226.01 and 53.15

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Solution

The fourth proportional to 150.65, 226.01 and 53.15 is: 79.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 226.01 = 53.15 : x
  2. Step 2: Convert to fraction form
    150.65/226.01 = 53.15/x
  3. Step 3: Cross multiply
    150.65x = 226.01 × 53.15
  4. Step 4: Simplify right side
    150.65x = 12,011.04
  5. Step 5: Solve for x
    x = 12,011.04/150.65
  6. Step 6: Final answer
    x = 79.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.