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Finding the Fourth Proportional to 143.00, 214.04 and 99.46

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Solution

The fourth proportional to 143.00, 214.04 and 99.46 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.00 : 214.04 = 99.46 : x
  2. Step 2: Convert to fraction form
    143.00/214.04 = 99.46/x
  3. Step 3: Cross multiply
    143.00x = 214.04 × 99.46
  4. Step 4: Simplify right side
    143.00x = 21,288.93
  5. Step 5: Solve for x
    x = 21,288.93/143.00
  6. Step 6: Final answer
    x = 148.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.