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Finding the Fourth Proportional to 511.68, 706.22 and 290.62

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Solution

The fourth proportional to 511.68, 706.22 and 290.62 is: 401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.68 : 706.22 = 290.62 : x
  2. Step 2: Convert to fraction form
    511.68/706.22 = 290.62/x
  3. Step 3: Cross multiply
    511.68x = 706.22 × 290.62
  4. Step 4: Simplify right side
    511.68x = 205,242.18
  5. Step 5: Solve for x
    x = 205,242.18/511.68
  6. Step 6: Final answer
    x = 401.11

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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.