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Finding the Fourth Proportional to 256.57, 354.06 and 150.25

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Solution

The fourth proportional to 256.57, 354.06 and 150.25 is: 207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.57 : 354.06 = 150.25 : x
  2. Step 2: Convert to fraction form
    256.57/354.06 = 150.25/x
  3. Step 3: Cross multiply
    256.57x = 354.06 × 150.25
  4. Step 4: Simplify right side
    256.57x = 53,197.83
  5. Step 5: Solve for x
    x = 53,197.83/256.57
  6. Step 6: Final answer
    x = 207.34

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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.