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Finding the Fourth Proportional to 507.15, 760.31 and 198.95

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Solution

The fourth proportional to 507.15, 760.31 and 198.95 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.15 : 760.31 = 198.95 : x
  2. Step 2: Convert to fraction form
    507.15/760.31 = 198.95/x
  3. Step 3: Cross multiply
    507.15x = 760.31 × 198.95
  4. Step 4: Simplify right side
    507.15x = 151,258.88
  5. Step 5: Solve for x
    x = 151,258.88/507.15
  6. Step 6: Final answer
    x = 298.25

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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.