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Finding the Fourth Proportional to 203.15, 303.35 and 178.26

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Solution

The fourth proportional to 203.15, 303.35 and 178.26 is: 266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.15 : 303.35 = 178.26 : x
  2. Step 2: Convert to fraction form
    203.15/303.35 = 178.26/x
  3. Step 3: Cross multiply
    203.15x = 303.35 × 178.26
  4. Step 4: Simplify right side
    203.15x = 54,073.14
  5. Step 5: Solve for x
    x = 54,073.14/203.15
  6. Step 6: Final answer
    x = 266.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.