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Finding the Fourth Proportional to 143.66, 213.98 and 141.77

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Solution

The fourth proportional to 143.66, 213.98 and 141.77 is: 211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 213.98 = 141.77 : x
  2. Step 2: Convert to fraction form
    143.66/213.98 = 141.77/x
  3. Step 3: Cross multiply
    143.66x = 213.98 × 141.77
  4. Step 4: Simplify right side
    143.66x = 30,334.17
  5. Step 5: Solve for x
    x = 30,334.17/143.66
  6. Step 6: Final answer
    x = 211.16

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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.