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Finding the Fourth Proportional to 222.90, 307.61 and 123.30

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Solution

The fourth proportional to 222.90, 307.61 and 123.30 is: 170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.90 : 307.61 = 123.30 : x
  2. Step 2: Convert to fraction form
    222.90/307.61 = 123.30/x
  3. Step 3: Cross multiply
    222.90x = 307.61 × 123.30
  4. Step 4: Simplify right side
    222.90x = 37,927.70
  5. Step 5: Solve for x
    x = 37,927.70/222.90
  6. Step 6: Final answer
    x = 170.16

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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.