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Finding the Fourth Proportional to 257.57, 355.44 and 147.04

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Solution

The fourth proportional to 257.57, 355.44 and 147.04 is: 202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 355.44 = 147.04 : x
  2. Step 2: Convert to fraction form
    257.57/355.44 = 147.04/x
  3. Step 3: Cross multiply
    257.57x = 355.44 × 147.04
  4. Step 4: Simplify right side
    257.57x = 52,263.40
  5. Step 5: Solve for x
    x = 52,263.40/257.57
  6. Step 6: Final answer
    x = 202.91

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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.