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Finding the Fourth Proportional to 565.45, 848.21 and 218.79

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Solution

The fourth proportional to 565.45, 848.21 and 218.79 is: 328.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.45 : 848.21 = 218.79 : x
  2. Step 2: Convert to fraction form
    565.45/848.21 = 218.79/x
  3. Step 3: Cross multiply
    565.45x = 848.21 × 218.79
  4. Step 4: Simplify right side
    565.45x = 185,579.87
  5. Step 5: Solve for x
    x = 185,579.87/565.45
  6. Step 6: Final answer
    x = 328.20

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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.