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Finding the Fourth Proportional to 287.42, 396.65 and 156.43

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Solution

The fourth proportional to 287.42, 396.65 and 156.43 is: 215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.42 : 396.65 = 156.43 : x
  2. Step 2: Convert to fraction form
    287.42/396.65 = 156.43/x
  3. Step 3: Cross multiply
    287.42x = 396.65 × 156.43
  4. Step 4: Simplify right side
    287.42x = 62,047.96
  5. Step 5: Solve for x
    x = 62,047.96/287.42
  6. Step 6: Final answer
    x = 215.88

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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.