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Finding the Fourth Proportional to 526.78, 790.56 and 198.02

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Solution

The fourth proportional to 526.78, 790.56 and 198.02 is: 297.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 790.56 = 198.02 : x
  2. Step 2: Convert to fraction form
    526.78/790.56 = 198.02/x
  3. Step 3: Cross multiply
    526.78x = 790.56 × 198.02
  4. Step 4: Simplify right side
    526.78x = 156,546.69
  5. Step 5: Solve for x
    x = 156,546.69/526.78
  6. Step 6: Final answer
    x = 297.18

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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.