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Finding the Fourth Proportional to 507.15, 760.37 and 276.15

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Solution

The fourth proportional to 507.15, 760.37 and 276.15 is: 414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.15 : 760.37 = 276.15 : x
  2. Step 2: Convert to fraction form
    507.15/760.37 = 276.15/x
  3. Step 3: Cross multiply
    507.15x = 760.37 × 276.15
  4. Step 4: Simplify right side
    507.15x = 209,972.37
  5. Step 5: Solve for x
    x = 209,972.37/507.15
  6. Step 6: Final answer
    x = 414.02

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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.