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Finding the Fourth Proportional to 249.84, 376.45 and 207.45

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Solution

The fourth proportional to 249.84, 376.45 and 207.45 is: 312.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 376.45 = 207.45 : x
  2. Step 2: Convert to fraction form
    249.84/376.45 = 207.45/x
  3. Step 3: Cross multiply
    249.84x = 376.45 × 207.45
  4. Step 4: Simplify right side
    249.84x = 78,094.55
  5. Step 5: Solve for x
    x = 78,094.55/249.84
  6. Step 6: Final answer
    x = 312.58

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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.