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Finding the Fourth Proportional to 385.20, 526.86 and 379.44

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Solution

The fourth proportional to 385.20, 526.86 and 379.44 is: 518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.20 : 526.86 = 379.44 : x
  2. Step 2: Convert to fraction form
    385.20/526.86 = 379.44/x
  3. Step 3: Cross multiply
    385.20x = 526.86 × 379.44
  4. Step 4: Simplify right side
    385.20x = 199,911.76
  5. Step 5: Solve for x
    x = 199,911.76/385.20
  6. Step 6: Final answer
    x = 518.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.