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Finding the Fourth Proportional to 526.56, 790.06 and 218.48

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Solution

The fourth proportional to 526.56, 790.06 and 218.48 is: 327.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.56 : 790.06 = 218.48 : x
  2. Step 2: Convert to fraction form
    526.56/790.06 = 218.48/x
  3. Step 3: Cross multiply
    526.56x = 790.06 × 218.48
  4. Step 4: Simplify right side
    526.56x = 172,612.31
  5. Step 5: Solve for x
    x = 172,612.31/526.56
  6. Step 6: Final answer
    x = 327.81

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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.