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Finding the Fourth Proportional to 258.00, 356.03 and 147.47

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Solution

The fourth proportional to 258.00, 356.03 and 147.47 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.00 : 356.03 = 147.47 : x
  2. Step 2: Convert to fraction form
    258.00/356.03 = 147.47/x
  3. Step 3: Cross multiply
    258.00x = 356.03 × 147.47
  4. Step 4: Simplify right side
    258.00x = 52,503.78
  5. Step 5: Solve for x
    x = 52,503.78/258.00
  6. Step 6: Final answer
    x = 203.51

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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.