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Finding the Fourth Proportional to 508.94, 763.29 and 143.78

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Solution

The fourth proportional to 508.94, 763.29 and 143.78 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.94 : 763.29 = 143.78 : x
  2. Step 2: Convert to fraction form
    508.94/763.29 = 143.78/x
  3. Step 3: Cross multiply
    508.94x = 763.29 × 143.78
  4. Step 4: Simplify right side
    508.94x = 109,745.84
  5. Step 5: Solve for x
    x = 109,745.84/508.94
  6. Step 6: Final answer
    x = 215.64

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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.