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Finding the Fourth Proportional to 507.32, 761.01 and 199.25

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Solution

The fourth proportional to 507.32, 761.01 and 199.25 is: 298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 761.01 = 199.25 : x
  2. Step 2: Convert to fraction form
    507.32/761.01 = 199.25/x
  3. Step 3: Cross multiply
    507.32x = 761.01 × 199.25
  4. Step 4: Simplify right side
    507.32x = 151,631.24
  5. Step 5: Solve for x
    x = 151,631.24/507.32
  6. Step 6: Final answer
    x = 298.89

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Double scale
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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.