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Finding the Fourth Proportional to 256.59, 353.96 and 157.03

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Solution

The fourth proportional to 256.59, 353.96 and 157.03 is: 216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.59 : 353.96 = 157.03 : x
  2. Step 2: Convert to fraction form
    256.59/353.96 = 157.03/x
  3. Step 3: Cross multiply
    256.59x = 353.96 × 157.03
  4. Step 4: Simplify right side
    256.59x = 55,582.00
  5. Step 5: Solve for x
    x = 55,582.00/256.59
  6. Step 6: Final answer
    x = 216.61

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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.