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Finding the Fourth Proportional to 203.40, 280.08 and 145.08

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Solution

The fourth proportional to 203.40, 280.08 and 145.08 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.40 : 280.08 = 145.08 : x
  2. Step 2: Convert to fraction form
    203.40/280.08 = 145.08/x
  3. Step 3: Cross multiply
    203.40x = 280.08 × 145.08
  4. Step 4: Simplify right side
    203.40x = 40,634.01
  5. Step 5: Solve for x
    x = 40,634.01/203.40
  6. Step 6: Final answer
    x = 199.77

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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.