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Finding the Fourth Proportional to 143.55, 213.93 and 140.47

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Solution

The fourth proportional to 143.55, 213.93 and 140.47 is: 209.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.55 : 213.93 = 140.47 : x
  2. Step 2: Convert to fraction form
    143.55/213.93 = 140.47/x
  3. Step 3: Cross multiply
    143.55x = 213.93 × 140.47
  4. Step 4: Simplify right side
    143.55x = 30,050.21
  5. Step 5: Solve for x
    x = 30,050.21/143.55
  6. Step 6: Final answer
    x = 209.34

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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.