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Finding the Fourth Proportional to 566.20, 848.75 and 219.43

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Solution

The fourth proportional to 566.20, 848.75 and 219.43 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 848.75 = 219.43 : x
  2. Step 2: Convert to fraction form
    566.20/848.75 = 219.43/x
  3. Step 3: Cross multiply
    566.20x = 848.75 × 219.43
  4. Step 4: Simplify right side
    566.20x = 186,241.21
  5. Step 5: Solve for x
    x = 186,241.21/566.20
  6. Step 6: Final answer
    x = 328.93

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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.