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Finding the Fourth Proportional to 287.12, 396.22 and 156.13

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Solution

The fourth proportional to 287.12, 396.22 and 156.13 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.12 : 396.22 = 156.13 : x
  2. Step 2: Convert to fraction form
    287.12/396.22 = 156.13/x
  3. Step 3: Cross multiply
    287.12x = 396.22 × 156.13
  4. Step 4: Simplify right side
    287.12x = 61,861.93
  5. Step 5: Solve for x
    x = 61,861.93/287.12
  6. Step 6: Final answer
    x = 215.45

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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.