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Finding the Fourth Proportional to 150.37, 225.55 and 47.65

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Solution

The fourth proportional to 150.37, 225.55 and 47.65 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.37 : 225.55 = 47.65 : x
  2. Step 2: Convert to fraction form
    150.37/225.55 = 47.65/x
  3. Step 3: Cross multiply
    150.37x = 225.55 × 47.65
  4. Step 4: Simplify right side
    150.37x = 10,746.33
  5. Step 5: Solve for x
    x = 10,746.33/150.37
  6. Step 6: Final answer
    x = 71.47

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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.