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Finding the Fourth Proportional to 256.96, 354.64 and 152.06

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Solution

The fourth proportional to 256.96, 354.64 and 152.06 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 354.64 = 152.06 : x
  2. Step 2: Convert to fraction form
    256.96/354.64 = 152.06/x
  3. Step 3: Cross multiply
    256.96x = 354.64 × 152.06
  4. Step 4: Simplify right side
    256.96x = 53,926.56
  5. Step 5: Solve for x
    x = 53,926.56/256.96
  6. Step 6: Final answer
    x = 209.86

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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.