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Finding the Fourth Proportional to 148.01, 204.01 and 143.66

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Solution

The fourth proportional to 148.01, 204.01 and 143.66 is: 198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.01 : 204.01 = 143.66 : x
  2. Step 2: Convert to fraction form
    148.01/204.01 = 143.66/x
  3. Step 3: Cross multiply
    148.01x = 204.01 × 143.66
  4. Step 4: Simplify right side
    148.01x = 29,306.34
  5. Step 5: Solve for x
    x = 29,306.34/148.01
  6. Step 6: Final answer
    x = 198.00

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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.