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Finding the Fourth Proportional to 526.78, 790.16 and 238.22

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Solution

The fourth proportional to 526.78, 790.16 and 238.22 is: 357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.78 : 790.16 = 238.22 : x
  2. Step 2: Convert to fraction form
    526.78/790.16 = 238.22/x
  3. Step 3: Cross multiply
    526.78x = 790.16 × 238.22
  4. Step 4: Simplify right side
    526.78x = 188,231.92
  5. Step 5: Solve for x
    x = 188,231.92/526.78
  6. Step 6: Final answer
    x = 357.33

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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.