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Finding the Fourth Proportional to 369.14, 509.24 and 244.86

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Solution

The fourth proportional to 369.14, 509.24 and 244.86 is: 337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.14 : 509.24 = 244.86 : x
  2. Step 2: Convert to fraction form
    369.14/509.24 = 244.86/x
  3. Step 3: Cross multiply
    369.14x = 509.24 × 244.86
  4. Step 4: Simplify right side
    369.14x = 124,692.51
  5. Step 5: Solve for x
    x = 124,692.51/369.14
  6. Step 6: Final answer
    x = 337.79

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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.