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Finding the Fourth Proportional to 203.12, 280.14 and 147.84

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Solution

The fourth proportional to 203.12, 280.14 and 147.84 is: 203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.12 : 280.14 = 147.84 : x
  2. Step 2: Convert to fraction form
    203.12/280.14 = 147.84/x
  3. Step 3: Cross multiply
    203.12x = 280.14 × 147.84
  4. Step 4: Simplify right side
    203.12x = 41,415.90
  5. Step 5: Solve for x
    x = 41,415.90/203.12
  6. Step 6: Final answer
    x = 203.90

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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.