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Finding the Fourth Proportional to 564.90, 846.70 and 218.05

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Solution

The fourth proportional to 564.90, 846.70 and 218.05 is: 326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.90 : 846.70 = 218.05 : x
  2. Step 2: Convert to fraction form
    564.90/846.70 = 218.05/x
  3. Step 3: Cross multiply
    564.90x = 846.70 × 218.05
  4. Step 4: Simplify right side
    564.90x = 184,627.45
  5. Step 5: Solve for x
    x = 184,627.45/564.90
  6. Step 6: Final answer
    x = 326.83

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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.