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Finding the Fourth Proportional to 380.41, 525.15 and 256.71

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Solution

The fourth proportional to 380.41, 525.15 and 256.71 is: 354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.41 : 525.15 = 256.71 : x
  2. Step 2: Convert to fraction form
    380.41/525.15 = 256.71/x
  3. Step 3: Cross multiply
    380.41x = 525.15 × 256.71
  4. Step 4: Simplify right side
    380.41x = 134,808.45
  5. Step 5: Solve for x
    x = 134,808.45/380.41
  6. Step 6: Final answer
    x = 354.38

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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.