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Finding the Fourth Proportional to 584.09, 875.78 and 218.90

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Solution

The fourth proportional to 584.09, 875.78 and 218.90 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.09 : 875.78 = 218.90 : x
  2. Step 2: Convert to fraction form
    584.09/875.78 = 218.90/x
  3. Step 3: Cross multiply
    584.09x = 875.78 × 218.90
  4. Step 4: Simplify right side
    584.09x = 191,708.24
  5. Step 5: Solve for x
    x = 191,708.24/584.09
  6. Step 6: Final answer
    x = 328.22

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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.