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Finding the Fourth Proportional to 451.61, 677.42 and 143.47

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Solution

The fourth proportional to 451.61, 677.42 and 143.47 is: 215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.61 : 677.42 = 143.47 : x
  2. Step 2: Convert to fraction form
    451.61/677.42 = 143.47/x
  3. Step 3: Cross multiply
    451.61x = 677.42 × 143.47
  4. Step 4: Simplify right side
    451.61x = 97,190.11
  5. Step 5: Solve for x
    x = 97,190.11/451.61
  6. Step 6: Final answer
    x = 215.21

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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.