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Finding the Fourth Proportional to 302.76, 456.16 and 249.84

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Solution

The fourth proportional to 302.76, 456.16 and 249.84 is: 376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 456.16 = 249.84 : x
  2. Step 2: Convert to fraction form
    302.76/456.16 = 249.84/x
  3. Step 3: Cross multiply
    302.76x = 456.16 × 249.84
  4. Step 4: Simplify right side
    302.76x = 113,967.01
  5. Step 5: Solve for x
    x = 113,967.01/302.76
  6. Step 6: Final answer
    x = 376.43

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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.