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Finding the Fourth Proportional to 245.14, 367.32 and 148.78

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Solution

The fourth proportional to 245.14, 367.32 and 148.78 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.14 : 367.32 = 148.78 : x
  2. Step 2: Convert to fraction form
    245.14/367.32 = 148.78/x
  3. Step 3: Cross multiply
    245.14x = 367.32 × 148.78
  4. Step 4: Simplify right side
    245.14x = 54,649.87
  5. Step 5: Solve for x
    x = 54,649.87/245.14
  6. Step 6: Final answer
    x = 222.93

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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.