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Finding the Fourth Proportional to 389.13, 537.09 and 258.03

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Solution

The fourth proportional to 389.13, 537.09 and 258.03 is: 356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.13 : 537.09 = 258.03 : x
  2. Step 2: Convert to fraction form
    389.13/537.09 = 258.03/x
  3. Step 3: Cross multiply
    389.13x = 537.09 × 258.03
  4. Step 4: Simplify right side
    389.13x = 138,585.33
  5. Step 5: Solve for x
    x = 138,585.33/389.13
  6. Step 6: Final answer
    x = 356.14

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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.