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Finding the Fourth Proportional to 257.98, 356.08 and 147.50

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Solution

The fourth proportional to 257.98, 356.08 and 147.50 is: 203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.98 : 356.08 = 147.50 : x
  2. Step 2: Convert to fraction form
    257.98/356.08 = 147.50/x
  3. Step 3: Cross multiply
    257.98x = 356.08 × 147.50
  4. Step 4: Simplify right side
    257.98x = 52,521.80
  5. Step 5: Solve for x
    x = 52,521.80/257.98
  6. Step 6: Final answer
    x = 203.59

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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.