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Finding the Fourth Proportional to 249.54, 376.03 and 207.16

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Solution

The fourth proportional to 249.54, 376.03 and 207.16 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 376.03 = 207.16 : x
  2. Step 2: Convert to fraction form
    249.54/376.03 = 207.16/x
  3. Step 3: Cross multiply
    249.54x = 376.03 × 207.16
  4. Step 4: Simplify right side
    249.54x = 77,898.37
  5. Step 5: Solve for x
    x = 77,898.37/249.54
  6. Step 6: Final answer
    x = 312.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.