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Finding the Fourth Proportional to 509.03, 763.31 and 162.30

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Solution

The fourth proportional to 509.03, 763.31 and 162.30 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.03 : 763.31 = 162.30 : x
  2. Step 2: Convert to fraction form
    509.03/763.31 = 162.30/x
  3. Step 3: Cross multiply
    509.03x = 763.31 × 162.30
  4. Step 4: Simplify right side
    509.03x = 123,881.40
  5. Step 5: Solve for x
    x = 123,881.40/509.03
  6. Step 6: Final answer
    x = 243.37

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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.