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Finding the Fourth Proportional to 542.93, 814.43 and 218.30

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Solution

The fourth proportional to 542.93, 814.43 and 218.30 is: 327.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.93 : 814.43 = 218.30 : x
  2. Step 2: Convert to fraction form
    542.93/814.43 = 218.30/x
  3. Step 3: Cross multiply
    542.93x = 814.43 × 218.30
  4. Step 4: Simplify right side
    542.93x = 177,786.00
  5. Step 5: Solve for x
    x = 177,786.00/542.93
  6. Step 6: Final answer
    x = 327.46

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Double scale
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Similar ratio
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1.5x scale

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.