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Finding the Fourth Proportional to 143.42, 214.08 and 109.02

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Solution

The fourth proportional to 143.42, 214.08 and 109.02 is: 162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.42 : 214.08 = 109.02 : x
  2. Step 2: Convert to fraction form
    143.42/214.08 = 109.02/x
  3. Step 3: Cross multiply
    143.42x = 214.08 × 109.02
  4. Step 4: Simplify right side
    143.42x = 23,339.00
  5. Step 5: Solve for x
    x = 23,339.00/143.42
  6. Step 6: Final answer
    x = 162.73

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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.