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Finding the Fourth Proportional to 520.22, 780.54 and 212.66

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Solution

The fourth proportional to 520.22, 780.54 and 212.66 is: 319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.22 : 780.54 = 212.66 : x
  2. Step 2: Convert to fraction form
    520.22/780.54 = 212.66/x
  3. Step 3: Cross multiply
    520.22x = 780.54 × 212.66
  4. Step 4: Simplify right side
    520.22x = 165,989.64
  5. Step 5: Solve for x
    x = 165,989.64/520.22
  6. Step 6: Final answer
    x = 319.08

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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.