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Finding the Fourth Proportional to 549.99, 824.72 and 193.77

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Solution

The fourth proportional to 549.99, 824.72 and 193.77 is: 290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.99 : 824.72 = 193.77 : x
  2. Step 2: Convert to fraction form
    549.99/824.72 = 193.77/x
  3. Step 3: Cross multiply
    549.99x = 824.72 × 193.77
  4. Step 4: Simplify right side
    549.99x = 159,805.03
  5. Step 5: Solve for x
    x = 159,805.03/549.99
  6. Step 6: Final answer
    x = 290.56

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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.