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Finding the Fourth Proportional to 564.36, 846.42 and 179.52

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Solution

The fourth proportional to 564.36, 846.42 and 179.52 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.36 : 846.42 = 179.52 : x
  2. Step 2: Convert to fraction form
    564.36/846.42 = 179.52/x
  3. Step 3: Cross multiply
    564.36x = 846.42 × 179.52
  4. Step 4: Simplify right side
    564.36x = 151,949.32
  5. Step 5: Solve for x
    x = 151,949.32/564.36
  6. Step 6: Final answer
    x = 269.24

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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.