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Finding the Fourth Proportional to 256.02, 353.16 and 215.13

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Solution

The fourth proportional to 256.02, 353.16 and 215.13 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.02 : 353.16 = 215.13 : x
  2. Step 2: Convert to fraction form
    256.02/353.16 = 215.13/x
  3. Step 3: Cross multiply
    256.02x = 353.16 × 215.13
  4. Step 4: Simplify right side
    256.02x = 75,975.31
  5. Step 5: Solve for x
    x = 75,975.31/256.02
  6. Step 6: Final answer
    x = 296.76

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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.