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Finding the Fourth Proportional to 380.09, 524.45 and 349.85

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Solution

The fourth proportional to 380.09, 524.45 and 349.85 is: 482.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.45 = 349.85 : x
  2. Step 2: Convert to fraction form
    380.09/524.45 = 349.85/x
  3. Step 3: Cross multiply
    380.09x = 524.45 × 349.85
  4. Step 4: Simplify right side
    380.09x = 183,478.83
  5. Step 5: Solve for x
    x = 183,478.83/380.09
  6. Step 6: Final answer
    x = 482.72

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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.