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Finding the Fourth Proportional to 258.52, 354.61 and 253.12

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Solution

The fourth proportional to 258.52, 354.61 and 253.12 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.52 : 354.61 = 253.12 : x
  2. Step 2: Convert to fraction form
    258.52/354.61 = 253.12/x
  3. Step 3: Cross multiply
    258.52x = 354.61 × 253.12
  4. Step 4: Simplify right side
    258.52x = 89,758.06
  5. Step 5: Solve for x
    x = 89,758.06/258.52
  6. Step 6: Final answer
    x = 347.21

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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.