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Finding the Fourth Proportional to 349.16, 482.28 and 283

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Solution

The fourth proportional to 349.16, 482.28 and 283 is: 390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.16 : 482.28 = 283 : x
  2. Step 2: Convert to fraction form
    349.16/482.28 = 283/x
  3. Step 3: Cross multiply
    349.16x = 482.28 × 283
  4. Step 4: Simplify right side
    349.16x = 136,485.24
  5. Step 5: Solve for x
    x = 136,485.24/349.16
  6. Step 6: Final answer
    x = 390.90

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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.