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Finding the Fourth Proportional to 387.03, 580.79 and 257.23

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Solution

The fourth proportional to 387.03, 580.79 and 257.23 is: 386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.03 : 580.79 = 257.23 : x
  2. Step 2: Convert to fraction form
    387.03/580.79 = 257.23/x
  3. Step 3: Cross multiply
    387.03x = 580.79 × 257.23
  4. Step 4: Simplify right side
    387.03x = 149,396.61
  5. Step 5: Solve for x
    x = 149,396.61/387.03
  6. Step 6: Final answer
    x = 386.01

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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.