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Finding the Fourth Proportional to 349.65, 480.35 and 283.95

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Solution

The fourth proportional to 349.65, 480.35 and 283.95 is: 390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.65 : 480.35 = 283.95 : x
  2. Step 2: Convert to fraction form
    349.65/480.35 = 283.95/x
  3. Step 3: Cross multiply
    349.65x = 480.35 × 283.95
  4. Step 4: Simplify right side
    349.65x = 136,396.09
  5. Step 5: Solve for x
    x = 136,396.09/349.65
  6. Step 6: Final answer
    x = 390.09

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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.