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Finding the Fourth Proportional to 287.82, 433.42 and 207.22

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Solution

The fourth proportional to 287.82, 433.42 and 207.22 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 433.42 = 207.22 : x
  2. Step 2: Convert to fraction form
    287.82/433.42 = 207.22/x
  3. Step 3: Cross multiply
    287.82x = 433.42 × 207.22
  4. Step 4: Simplify right side
    287.82x = 89,813.29
  5. Step 5: Solve for x
    x = 89,813.29/287.82
  6. Step 6: Final answer
    x = 312.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.