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Finding the Fourth Proportional to 380.06, 569.85 and 257.95

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Solution

The fourth proportional to 380.06, 569.85 and 257.95 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 569.85 = 257.95 : x
  2. Step 2: Convert to fraction form
    380.06/569.85 = 257.95/x
  3. Step 3: Cross multiply
    380.06x = 569.85 × 257.95
  4. Step 4: Simplify right side
    380.06x = 146,992.81
  5. Step 5: Solve for x
    x = 146,992.81/380.06
  6. Step 6: Final answer
    x = 386.76

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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.