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Finding the Fourth Proportional to 695.14, 1,042.93 and 208.22

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Solution

The fourth proportional to 695.14, 1,042.93 and 208.22 is: 312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.14 : 1,042.93 = 208.22 : x
  2. Step 2: Convert to fraction form
    695.14/1,042.93 = 208.22/x
  3. Step 3: Cross multiply
    695.14x = 1,042.93 × 208.22
  4. Step 4: Simplify right side
    695.14x = 217,158.88
  5. Step 5: Solve for x
    x = 217,158.88/695.14
  6. Step 6: Final answer
    x = 312.40

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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.