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Finding the Fourth Proportional to 998, 1,497.10 and 267.58

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Solution

The fourth proportional to 998, 1,497.10 and 267.58 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    998 : 1,497.10 = 267.58 : x
  2. Step 2: Convert to fraction form
    998/1,497.10 = 267.58/x
  3. Step 3: Cross multiply
    998x = 1,497.10 × 267.58
  4. Step 4: Simplify right side
    998x = 400,594.02
  5. Step 5: Solve for x
    x = 400,594.02/998
  6. Step 6: Final answer
    x = 401.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.