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Finding the Fourth Proportional to 258.40, 354.17 and 256.60

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Solution

The fourth proportional to 258.40, 354.17 and 256.60 is: 351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 354.17 = 256.60 : x
  2. Step 2: Convert to fraction form
    258.40/354.17 = 256.60/x
  3. Step 3: Cross multiply
    258.40x = 354.17 × 256.60
  4. Step 4: Simplify right side
    258.40x = 90,880.02
  5. Step 5: Solve for x
    x = 90,880.02/258.40
  6. Step 6: Final answer
    x = 351.70

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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.