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Finding the Fourth Proportional to 509, 763.23 and 234.95

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Solution

The fourth proportional to 509, 763.23 and 234.95 is: 352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.23 = 234.95 : x
  2. Step 2: Convert to fraction form
    509/763.23 = 234.95/x
  3. Step 3: Cross multiply
    509x = 763.23 × 234.95
  4. Step 4: Simplify right side
    509x = 179,320.89
  5. Step 5: Solve for x
    x = 179,320.89/509
  6. Step 6: Final answer
    x = 352.30

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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.