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Finding the Fourth Proportional to 287.01, 428.42 and 248.76

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Solution

The fourth proportional to 287.01, 428.42 and 248.76 is: 371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.01 : 428.42 = 248.76 : x
  2. Step 2: Convert to fraction form
    287.01/428.42 = 248.76/x
  3. Step 3: Cross multiply
    287.01x = 428.42 × 248.76
  4. Step 4: Simplify right side
    287.01x = 106,574.38
  5. Step 5: Solve for x
    x = 106,574.38/287.01
  6. Step 6: Final answer
    x = 371.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.