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Finding the Fourth Proportional to 369.99, 510.48 and 239.09

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Solution

The fourth proportional to 369.99, 510.48 and 239.09 is: 329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.99 : 510.48 = 239.09 : x
  2. Step 2: Convert to fraction form
    369.99/510.48 = 239.09/x
  3. Step 3: Cross multiply
    369.99x = 510.48 × 239.09
  4. Step 4: Simplify right side
    369.99x = 122,048.11
  5. Step 5: Solve for x
    x = 122,048.11/369.99
  6. Step 6: Final answer
    x = 329.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.