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Finding the Fourth Proportional to 349.53, 480.18 and 287.16

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Solution

The fourth proportional to 349.53, 480.18 and 287.16 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.53 : 480.18 = 287.16 : x
  2. Step 2: Convert to fraction form
    349.53/480.18 = 287.16/x
  3. Step 3: Cross multiply
    349.53x = 480.18 × 287.16
  4. Step 4: Simplify right side
    349.53x = 137,888.49
  5. Step 5: Solve for x
    x = 137,888.49/349.53
  6. Step 6: Final answer
    x = 394.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.