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Finding the Fourth Proportional to 256.91, 386.03 and 235.04

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Solution

The fourth proportional to 256.91, 386.03 and 235.04 is: 353.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.91 : 386.03 = 235.04 : x
  2. Step 2: Convert to fraction form
    256.91/386.03 = 235.04/x
  3. Step 3: Cross multiply
    256.91x = 386.03 × 235.04
  4. Step 4: Simplify right side
    256.91x = 90,731.15
  5. Step 5: Solve for x
    x = 90,731.15/256.91
  6. Step 6: Final answer
    x = 353.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.