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Finding the Fourth Proportional to 369.29, 509.36 and 238.48

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Solution

The fourth proportional to 369.29, 509.36 and 238.48 is: 328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.29 : 509.36 = 238.48 : x
  2. Step 2: Convert to fraction form
    369.29/509.36 = 238.48/x
  3. Step 3: Cross multiply
    369.29x = 509.36 × 238.48
  4. Step 4: Simplify right side
    369.29x = 121,469.71
  5. Step 5: Solve for x
    x = 121,469.71/369.29
  6. Step 6: Final answer
    x = 328.93

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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.