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Finding the Fourth Proportional to 509.32, 762.96 and 235.04

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Solution

The fourth proportional to 509.32, 762.96 and 235.04 is: 352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 762.96 = 235.04 : x
  2. Step 2: Convert to fraction form
    509.32/762.96 = 235.04/x
  3. Step 3: Cross multiply
    509.32x = 762.96 × 235.04
  4. Step 4: Simplify right side
    509.32x = 179,326.12
  5. Step 5: Solve for x
    x = 179,326.12/509.32
  6. Step 6: Final answer
    x = 352.09

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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.