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Finding the Fourth Proportional to 287.42, 396.59 and 182.52

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Solution

The fourth proportional to 287.42, 396.59 and 182.52 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.42 : 396.59 = 182.52 : x
  2. Step 2: Convert to fraction form
    287.42/396.59 = 182.52/x
  3. Step 3: Cross multiply
    287.42x = 396.59 × 182.52
  4. Step 4: Simplify right side
    287.42x = 72,384.69
  5. Step 5: Solve for x
    x = 72,384.69/287.42
  6. Step 6: Final answer
    x = 251.85

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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.