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Finding the Fourth Proportional to 222.80, 307.55 and 147.08

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Solution

The fourth proportional to 222.80, 307.55 and 147.08 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.80 : 307.55 = 147.08 : x
  2. Step 2: Convert to fraction form
    222.80/307.55 = 147.08/x
  3. Step 3: Cross multiply
    222.80x = 307.55 × 147.08
  4. Step 4: Simplify right side
    222.80x = 45,235.80
  5. Step 5: Solve for x
    x = 45,235.80/222.80
  6. Step 6: Final answer
    x = 203.03

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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.