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Finding the Fourth Proportional to 203.02, 280.15 and 133.18

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Solution

The fourth proportional to 203.02, 280.15 and 133.18 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.02 : 280.15 = 133.18 : x
  2. Step 2: Convert to fraction form
    203.02/280.15 = 133.18/x
  3. Step 3: Cross multiply
    203.02x = 280.15 × 133.18
  4. Step 4: Simplify right side
    203.02x = 37,309.34
  5. Step 5: Solve for x
    x = 37,309.34/203.02
  6. Step 6: Final answer
    x = 183.77

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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.