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Finding the Fourth Proportional to 508.76, 762.53 and 234.87

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Solution

The fourth proportional to 508.76, 762.53 and 234.87 is: 352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 762.53 = 234.87 : x
  2. Step 2: Convert to fraction form
    508.76/762.53 = 234.87/x
  3. Step 3: Cross multiply
    508.76x = 762.53 × 234.87
  4. Step 4: Simplify right side
    508.76x = 179,094.25
  5. Step 5: Solve for x
    x = 179,094.25/508.76
  6. Step 6: Final answer
    x = 352.02

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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.