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Finding the Fourth Proportional to 349.89, 524.83 and 118.78

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Solution

The fourth proportional to 349.89, 524.83 and 118.78 is: 178.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.89 : 524.83 = 118.78 : x
  2. Step 2: Convert to fraction form
    349.89/524.83 = 118.78/x
  3. Step 3: Cross multiply
    349.89x = 524.83 × 118.78
  4. Step 4: Simplify right side
    349.89x = 62,339.31
  5. Step 5: Solve for x
    x = 62,339.31/349.89
  6. Step 6: Final answer
    x = 178.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.