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Finding the Fourth Proportional to 507.76, 761.28 and 219.24

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Solution

The fourth proportional to 507.76, 761.28 and 219.24 is: 328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.76 : 761.28 = 219.24 : x
  2. Step 2: Convert to fraction form
    507.76/761.28 = 219.24/x
  3. Step 3: Cross multiply
    507.76x = 761.28 × 219.24
  4. Step 4: Simplify right side
    507.76x = 166,903.03
  5. Step 5: Solve for x
    x = 166,903.03/507.76
  6. Step 6: Final answer
    x = 328.70

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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.