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Finding the Fourth Proportional to 389.52, 537.15 and 258.30

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Solution

The fourth proportional to 389.52, 537.15 and 258.30 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 537.15 = 258.30 : x
  2. Step 2: Convert to fraction form
    389.52/537.15 = 258.30/x
  3. Step 3: Cross multiply
    389.52x = 537.15 × 258.30
  4. Step 4: Simplify right side
    389.52x = 138,745.85
  5. Step 5: Solve for x
    x = 138,745.85/389.52
  6. Step 6: Final answer
    x = 356.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.