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Finding the Fourth Proportional to 584, 876.15 and 218.80

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Solution

The fourth proportional to 584, 876.15 and 218.80 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    584 : 876.15 = 218.80 : x
  2. Step 2: Convert to fraction form
    584/876.15 = 218.80/x
  3. Step 3: Cross multiply
    584x = 876.15 × 218.80
  4. Step 4: Simplify right side
    584x = 191,697.24
  5. Step 5: Solve for x
    x = 191,697.24/584
  6. Step 6: Final answer
    x = 328.25

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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.