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Finding the Fourth Proportional to 369.24, 556.65 and 349.39

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Solution

The fourth proportional to 369.24, 556.65 and 349.39 is: 526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.24 : 556.65 = 349.39 : x
  2. Step 2: Convert to fraction form
    369.24/556.65 = 349.39/x
  3. Step 3: Cross multiply
    369.24x = 556.65 × 349.39
  4. Step 4: Simplify right side
    369.24x = 194,487.94
  5. Step 5: Solve for x
    x = 194,487.94/369.24
  6. Step 6: Final answer
    x = 526.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.