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Finding the Fourth Proportional to 507.76, 761.17 and 199.78

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Solution

The fourth proportional to 507.76, 761.17 and 199.78 is: 299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.17 = 199.78 : x
  2. Step 2: Convert to fraction form
    507.76/761.17 = 199.78/x
  3. Step 3: Cross multiply
    507.76x = 761.17 × 199.78
  4. Step 4: Simplify right side
    507.76x = 152,066.54
  5. Step 5: Solve for x
    x = 152,066.54/507.76
  6. Step 6: Final answer
    x = 299.49

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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.