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Finding the Fourth Proportional to 526.22, 788.79 and 218.24

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Solution

The fourth proportional to 526.22, 788.79 and 218.24 is: 327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.22 : 788.79 = 218.24 : x
  2. Step 2: Convert to fraction form
    526.22/788.79 = 218.24/x
  3. Step 3: Cross multiply
    526.22x = 788.79 × 218.24
  4. Step 4: Simplify right side
    526.22x = 172,141.59
  5. Step 5: Solve for x
    x = 172,141.59/526.22
  6. Step 6: Final answer
    x = 327.13

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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.