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Finding the Fourth Proportional to 369.72, 509.79 and 238.50

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Solution

The fourth proportional to 369.72, 509.79 and 238.50 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.72 : 509.79 = 238.50 : x
  2. Step 2: Convert to fraction form
    369.72/509.79 = 238.50/x
  3. Step 3: Cross multiply
    369.72x = 509.79 × 238.50
  4. Step 4: Simplify right side
    369.72x = 121,584.92
  5. Step 5: Solve for x
    x = 121,584.92/369.72
  6. Step 6: Final answer
    x = 328.86

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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.