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Finding the Fourth Proportional to 507.81, 761.81 and 233.85

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Solution

The fourth proportional to 507.81, 761.81 and 233.85 is: 350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 761.81 = 233.85 : x
  2. Step 2: Convert to fraction form
    507.81/761.81 = 233.85/x
  3. Step 3: Cross multiply
    507.81x = 761.81 × 233.85
  4. Step 4: Simplify right side
    507.81x = 178,148.10
  5. Step 5: Solve for x
    x = 178,148.10/507.81
  6. Step 6: Final answer
    x = 350.82

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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.