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Finding the Fourth Proportional to 200.34, 301.66 and 146.61

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Solution

The fourth proportional to 200.34, 301.66 and 146.61 is: 220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 301.66 = 146.61 : x
  2. Step 2: Convert to fraction form
    200.34/301.66 = 146.61/x
  3. Step 3: Cross multiply
    200.34x = 301.66 × 146.61
  4. Step 4: Simplify right side
    200.34x = 44,226.01
  5. Step 5: Solve for x
    x = 44,226.01/200.34
  6. Step 6: Final answer
    x = 220.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.