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Finding the Fourth Proportional to 380.95, 525.83 and 256.57

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Solution

The fourth proportional to 380.95, 525.83 and 256.57 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.95 : 525.83 = 256.57 : x
  2. Step 2: Convert to fraction form
    380.95/525.83 = 256.57/x
  3. Step 3: Cross multiply
    380.95x = 525.83 × 256.57
  4. Step 4: Simplify right side
    380.95x = 134,909.61
  5. Step 5: Solve for x
    x = 134,909.61/380.95
  6. Step 6: Final answer
    x = 354.14

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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.