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Finding the Fourth Proportional to 258.30, 356.34 and 147.75

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Solution

The fourth proportional to 258.30, 356.34 and 147.75 is: 203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.30 : 356.34 = 147.75 : x
  2. Step 2: Convert to fraction form
    258.30/356.34 = 147.75/x
  3. Step 3: Cross multiply
    258.30x = 356.34 × 147.75
  4. Step 4: Simplify right side
    258.30x = 52,646.71
  5. Step 5: Solve for x
    x = 52,646.71/258.30
  6. Step 6: Final answer
    x = 203.82

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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.