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Finding the Fourth Proportional to 451.36, 677.10 and 143.23

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Solution

The fourth proportional to 451.36, 677.10 and 143.23 is: 214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.36 : 677.10 = 143.23 : x
  2. Step 2: Convert to fraction form
    451.36/677.10 = 143.23/x
  3. Step 3: Cross multiply
    451.36x = 677.10 × 143.23
  4. Step 4: Simplify right side
    451.36x = 96,981.03
  5. Step 5: Solve for x
    x = 96,981.03/451.36
  6. Step 6: Final answer
    x = 214.86

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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.