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Finding the Fourth Proportional to 287.82, 397.19 and 156.83

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Solution

The fourth proportional to 287.82, 397.19 and 156.83 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 397.19 = 156.83 : x
  2. Step 2: Convert to fraction form
    287.82/397.19 = 156.83/x
  3. Step 3: Cross multiply
    287.82x = 397.19 × 156.83
  4. Step 4: Simplify right side
    287.82x = 62,291.31
  5. Step 5: Solve for x
    x = 62,291.31/287.82
  6. Step 6: Final answer
    x = 216.42

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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.