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Finding the Fourth Proportional to 287.40, 395.64 and 272.82

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Solution

The fourth proportional to 287.40, 395.64 and 272.82 is: 375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.40 : 395.64 = 272.82 : x
  2. Step 2: Convert to fraction form
    287.40/395.64 = 272.82/x
  3. Step 3: Cross multiply
    287.40x = 395.64 × 272.82
  4. Step 4: Simplify right side
    287.40x = 107,938.50
  5. Step 5: Solve for x
    x = 107,938.50/287.40
  6. Step 6: Final answer
    x = 375.57

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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.