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Finding the Fourth Proportional to 528, 791.87 and 220.14

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Solution

The fourth proportional to 528, 791.87 and 220.14 is: 330.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 791.87 = 220.14 : x
  2. Step 2: Convert to fraction form
    528/791.87 = 220.14/x
  3. Step 3: Cross multiply
    528x = 791.87 × 220.14
  4. Step 4: Simplify right side
    528x = 174,317.20
  5. Step 5: Solve for x
    x = 174,317.20/528
  6. Step 6: Final answer
    x = 330.15

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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.