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Finding the Fourth Proportional to 387.77, 580.37 and 257.22

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Solution

The fourth proportional to 387.77, 580.37 and 257.22 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 580.37 = 257.22 : x
  2. Step 2: Convert to fraction form
    387.77/580.37 = 257.22/x
  3. Step 3: Cross multiply
    387.77x = 580.37 × 257.22
  4. Step 4: Simplify right side
    387.77x = 149,281.49
  5. Step 5: Solve for x
    x = 149,281.49/387.77
  6. Step 6: Final answer
    x = 384.98

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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.