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Finding the Fourth Proportional to 258.29, 356.44 and 147.80

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Solution

The fourth proportional to 258.29, 356.44 and 147.80 is: 203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 356.44 = 147.80 : x
  2. Step 2: Convert to fraction form
    258.29/356.44 = 147.80/x
  3. Step 3: Cross multiply
    258.29x = 356.44 × 147.80
  4. Step 4: Simplify right side
    258.29x = 52,681.83
  5. Step 5: Solve for x
    x = 52,681.83/258.29
  6. Step 6: Final answer
    x = 203.96

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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.