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Finding the Fourth Proportional to 550, 824.95 and 139.13

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Solution

The fourth proportional to 550, 824.95 and 139.13 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    550 : 824.95 = 139.13 : x
  2. Step 2: Convert to fraction form
    550/824.95 = 139.13/x
  3. Step 3: Cross multiply
    550x = 824.95 × 139.13
  4. Step 4: Simplify right side
    550x = 114,775.29
  5. Step 5: Solve for x
    x = 114,775.29/550
  6. Step 6: Final answer
    x = 208.68

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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.