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Finding the Fourth Proportional to 372.60, 559.10 and 257.38

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Solution

The fourth proportional to 372.60, 559.10 and 257.38 is: 386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.60 : 559.10 = 257.38 : x
  2. Step 2: Convert to fraction form
    372.60/559.10 = 257.38/x
  3. Step 3: Cross multiply
    372.60x = 559.10 × 257.38
  4. Step 4: Simplify right side
    372.60x = 143,900.40
  5. Step 5: Solve for x
    x = 143,900.40/372.60
  6. Step 6: Final answer
    x = 386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.