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Finding the Fourth Proportional to 507.49, 761.02 and 214.92

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Solution

The fourth proportional to 507.49, 761.02 and 214.92 is: 322.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.49 : 761.02 = 214.92 : x
  2. Step 2: Convert to fraction form
    507.49/761.02 = 214.92/x
  3. Step 3: Cross multiply
    507.49x = 761.02 × 214.92
  4. Step 4: Simplify right side
    507.49x = 163,557.88
  5. Step 5: Solve for x
    x = 163,557.88/507.49
  6. Step 6: Final answer
    x = 322.29

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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.