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Finding the Fourth Proportional to 203.66, 281.10 and 145.46

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Solution

The fourth proportional to 203.66, 281.10 and 145.46 is: 200.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 281.10 = 145.46 : x
  2. Step 2: Convert to fraction form
    203.66/281.10 = 145.46/x
  3. Step 3: Cross multiply
    203.66x = 281.10 × 145.46
  4. Step 4: Simplify right side
    203.66x = 40,888.81
  5. Step 5: Solve for x
    x = 40,888.81/203.66
  6. Step 6: Final answer
    x = 200.77

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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.