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Finding the Fourth Proportional to 564.74, 846.50 and 199.34

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Solution

The fourth proportional to 564.74, 846.50 and 199.34 is: 298.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 846.50 = 199.34 : x
  2. Step 2: Convert to fraction form
    564.74/846.50 = 199.34/x
  3. Step 3: Cross multiply
    564.74x = 846.50 × 199.34
  4. Step 4: Simplify right side
    564.74x = 168,741.31
  5. Step 5: Solve for x
    x = 168,741.31/564.74
  6. Step 6: Final answer
    x = 298.79

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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.