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Finding the Fourth Proportional to 389.61, 537.09 and 258.39

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Solution

The fourth proportional to 389.61, 537.09 and 258.39 is: 356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.61 : 537.09 = 258.39 : x
  2. Step 2: Convert to fraction form
    389.61/537.09 = 258.39/x
  3. Step 3: Cross multiply
    389.61x = 537.09 × 258.39
  4. Step 4: Simplify right side
    389.61x = 138,778.69
  5. Step 5: Solve for x
    x = 138,778.69/389.61
  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.