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Finding the Fourth Proportional to 222.54, 307.20 and 148.91

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Solution

The fourth proportional to 222.54, 307.20 and 148.91 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 307.20 = 148.91 : x
  2. Step 2: Convert to fraction form
    222.54/307.20 = 148.91/x
  3. Step 3: Cross multiply
    222.54x = 307.20 × 148.91
  4. Step 4: Simplify right side
    222.54x = 45,744.17
  5. Step 5: Solve for x
    x = 45,744.17/222.54
  6. Step 6: Final answer
    x = 205.56

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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.