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Finding the Fourth Proportional to 507.04, 759.98 and 229.62

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Solution

The fourth proportional to 507.04, 759.98 and 229.62 is: 344.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.04 : 759.98 = 229.62 : x
  2. Step 2: Convert to fraction form
    507.04/759.98 = 229.62/x
  3. Step 3: Cross multiply
    507.04x = 759.98 × 229.62
  4. Step 4: Simplify right side
    507.04x = 174,510.03
  5. Step 5: Solve for x
    x = 174,510.03/507.04
  6. Step 6: Final answer
    x = 344.18

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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.