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Finding the Fourth Proportional to 339.65, 509.76 and 248.52

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Solution

The fourth proportional to 339.65, 509.76 and 248.52 is: 372.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.65 : 509.76 = 248.52 : x
  2. Step 2: Convert to fraction form
    339.65/509.76 = 248.52/x
  3. Step 3: Cross multiply
    339.65x = 509.76 × 248.52
  4. Step 4: Simplify right side
    339.65x = 126,685.56
  5. Step 5: Solve for x
    x = 126,685.56/339.65
  6. Step 6: Final answer
    x = 372.99

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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.