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Finding the Fourth Proportional to 511.85, 706.31 and 290.84

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Solution

The fourth proportional to 511.85, 706.31 and 290.84 is: 401.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.85 : 706.31 = 290.84 : x
  2. Step 2: Convert to fraction form
    511.85/706.31 = 290.84/x
  3. Step 3: Cross multiply
    511.85x = 706.31 × 290.84
  4. Step 4: Simplify right side
    511.85x = 205,423.20
  5. Step 5: Solve for x
    x = 205,423.20/511.85
  6. Step 6: Final answer
    x = 401.33

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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.