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Finding the Fourth Proportional to 256.16, 353.20 and 186.08

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Solution

The fourth proportional to 256.16, 353.20 and 186.08 is: 256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.16 : 353.20 = 186.08 : x
  2. Step 2: Convert to fraction form
    256.16/353.20 = 186.08/x
  3. Step 3: Cross multiply
    256.16x = 353.20 × 186.08
  4. Step 4: Simplify right side
    256.16x = 65,723.46
  5. Step 5: Solve for x
    x = 65,723.46/256.16
  6. Step 6: Final answer
    x = 256.57

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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.