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Finding the Fourth Proportional to 351.52, 484.70 and 258.12

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Solution

The fourth proportional to 351.52, 484.70 and 258.12 is: 355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.52 : 484.70 = 258.12 : x
  2. Step 2: Convert to fraction form
    351.52/484.70 = 258.12/x
  3. Step 3: Cross multiply
    351.52x = 484.70 × 258.12
  4. Step 4: Simplify right side
    351.52x = 125,110.76
  5. Step 5: Solve for x
    x = 125,110.76/351.52
  6. Step 6: Final answer
    x = 355.91

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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.