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Finding the Fourth Proportional to 258.05, 356.14 and 147.56

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Solution

The fourth proportional to 258.05, 356.14 and 147.56 is: 203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 356.14 = 147.56 : x
  2. Step 2: Convert to fraction form
    258.05/356.14 = 147.56/x
  3. Step 3: Cross multiply
    258.05x = 356.14 × 147.56
  4. Step 4: Simplify right side
    258.05x = 52,552.02
  5. Step 5: Solve for x
    x = 52,552.02/258.05
  6. Step 6: Final answer
    x = 203.65

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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.