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Finding the Fourth Proportional to 287.82, 425.70 and 287.82

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Solution

The fourth proportional to 287.82, 425.70 and 287.82 is: 425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 425.70 = 287.82 : x
  2. Step 2: Convert to fraction form
    287.82/425.70 = 287.82/x
  3. Step 3: Cross multiply
    287.82x = 425.70 × 287.82
  4. Step 4: Simplify right side
    287.82x = 122,524.97
  5. Step 5: Solve for x
    x = 122,524.97/287.82
  6. Step 6: Final answer
    x = 425.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.