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Finding the Fourth Proportional to 256.72, 354.20 and 146.16

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Solution

The fourth proportional to 256.72, 354.20 and 146.16 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.72 : 354.20 = 146.16 : x
  2. Step 2: Convert to fraction form
    256.72/354.20 = 146.16/x
  3. Step 3: Cross multiply
    256.72x = 354.20 × 146.16
  4. Step 4: Simplify right side
    256.72x = 51,769.87
  5. Step 5: Solve for x
    x = 51,769.87/256.72
  6. Step 6: Final answer
    x = 201.66

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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.