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Finding the Fourth Proportional to 507.95, 761.81 and 219.23

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Solution

The fourth proportional to 507.95, 761.81 and 219.23 is: 328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.95 : 761.81 = 219.23 : x
  2. Step 2: Convert to fraction form
    507.95/761.81 = 219.23/x
  3. Step 3: Cross multiply
    507.95x = 761.81 × 219.23
  4. Step 4: Simplify right side
    507.95x = 167,010.51
  5. Step 5: Solve for x
    x = 167,010.51/507.95
  6. Step 6: Final answer
    x = 328.79

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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.