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Finding the Fourth Proportional to 287.49, 429.14 and 252.89

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Solution

The fourth proportional to 287.49, 429.14 and 252.89 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.49 : 429.14 = 252.89 : x
  2. Step 2: Convert to fraction form
    287.49/429.14 = 252.89/x
  3. Step 3: Cross multiply
    287.49x = 429.14 × 252.89
  4. Step 4: Simplify right side
    287.49x = 108,525.21
  5. Step 5: Solve for x
    x = 108,525.21/287.49
  6. Step 6: Final answer
    x = 377.49

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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.