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Finding the Fourth Proportional to 389.74, 537.49 and 257.07

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Solution

The fourth proportional to 389.74, 537.49 and 257.07 is: 354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.74 : 537.49 = 257.07 : x
  2. Step 2: Convert to fraction form
    389.74/537.49 = 257.07/x
  3. Step 3: Cross multiply
    389.74x = 537.49 × 257.07
  4. Step 4: Simplify right side
    389.74x = 138,173.45
  5. Step 5: Solve for x
    x = 138,173.45/389.74
  6. Step 6: Final answer
    x = 354.53

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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.