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Finding the Fourth Proportional to 369.19, 508.89 and 280.39

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Solution

The fourth proportional to 369.19, 508.89 and 280.39 is: 386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.19 : 508.89 = 280.39 : x
  2. Step 2: Convert to fraction form
    369.19/508.89 = 280.39/x
  3. Step 3: Cross multiply
    369.19x = 508.89 × 280.39
  4. Step 4: Simplify right side
    369.19x = 142,685.12
  5. Step 5: Solve for x
    x = 142,685.12/369.19
  6. Step 6: Final answer
    x = 386.48

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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.