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Finding the Fourth Proportional to 507.42, 760.90 and 199.21

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Solution

The fourth proportional to 507.42, 760.90 and 199.21 is: 298.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 760.90 = 199.21 : x
  2. Step 2: Convert to fraction form
    507.42/760.90 = 199.21/x
  3. Step 3: Cross multiply
    507.42x = 760.90 × 199.21
  4. Step 4: Simplify right side
    507.42x = 151,578.89
  5. Step 5: Solve for x
    x = 151,578.89/507.42
  6. Step 6: Final answer
    x = 298.72

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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.