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Finding the Fourth Proportional to 542.23, 813.58 and 217.51

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Solution

The fourth proportional to 542.23, 813.58 and 217.51 is: 326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.23 : 813.58 = 217.51 : x
  2. Step 2: Convert to fraction form
    542.23/813.58 = 217.51/x
  3. Step 3: Cross multiply
    542.23x = 813.58 × 217.51
  4. Step 4: Simplify right side
    542.23x = 176,961.79
  5. Step 5: Solve for x
    x = 176,961.79/542.23
  6. Step 6: Final answer
    x = 326.36

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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.