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Finding the Fourth Proportional to 511.08, 705.29 and 278.20

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Solution

The fourth proportional to 511.08, 705.29 and 278.20 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.08 : 705.29 = 278.20 : x
  2. Step 2: Convert to fraction form
    511.08/705.29 = 278.20/x
  3. Step 3: Cross multiply
    511.08x = 705.29 × 278.20
  4. Step 4: Simplify right side
    511.08x = 196,211.68
  5. Step 5: Solve for x
    x = 196,211.68/511.08
  6. Step 6: Final answer
    x = 383.92

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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.