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Finding the Fourth Proportional to 565.53, 847.64 and 218.70

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Solution

The fourth proportional to 565.53, 847.64 and 218.70 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.53 : 847.64 = 218.70 : x
  2. Step 2: Convert to fraction form
    565.53/847.64 = 218.70/x
  3. Step 3: Cross multiply
    565.53x = 847.64 × 218.70
  4. Step 4: Simplify right side
    565.53x = 185,378.80
  5. Step 5: Solve for x
    x = 185,378.80/565.53
  6. Step 6: Final answer
    x = 327.80

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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.