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Finding the Fourth Proportional to 507.38, 760.85 and 276.20

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Solution

The fourth proportional to 507.38, 760.85 and 276.20 is: 414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 760.85 = 276.20 : x
  2. Step 2: Convert to fraction form
    507.38/760.85 = 276.20/x
  3. Step 3: Cross multiply
    507.38x = 760.85 × 276.20
  4. Step 4: Simplify right side
    507.38x = 210,148.39
  5. Step 5: Solve for x
    x = 210,148.39/507.38
  6. Step 6: Final answer
    x = 414.18

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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.