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Finding the Fourth Proportional to 287.76, 429.14 and 251.40

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Solution

The fourth proportional to 287.76, 429.14 and 251.40 is: 374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.76 : 429.14 = 251.40 : x
  2. Step 2: Convert to fraction form
    287.76/429.14 = 251.40/x
  3. Step 3: Cross multiply
    287.76x = 429.14 × 251.40
  4. Step 4: Simplify right side
    287.76x = 107,884.54
  5. Step 5: Solve for x
    x = 107,884.54/287.76
  6. Step 6: Final answer
    x = 374.91

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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.