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Finding the Fourth Proportional to 387.58, 581.12 and 257.44

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Solution

The fourth proportional to 387.58, 581.12 and 257.44 is: 385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.58 : 581.12 = 257.44 : x
  2. Step 2: Convert to fraction form
    387.58/581.12 = 257.44/x
  3. Step 3: Cross multiply
    387.58x = 581.12 × 257.44
  4. Step 4: Simplify right side
    387.58x = 149,603.53
  5. Step 5: Solve for x
    x = 149,603.53/387.58
  6. Step 6: Final answer
    x = 385.99

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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.