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Finding the Fourth Proportional to 1,101.15, 1,651.71 and 279.42

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Solution

The fourth proportional to 1,101.15, 1,651.71 and 279.42 is: 419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.15 : 1,651.71 = 279.42 : x
  2. Step 2: Convert to fraction form
    1,101.15/1,651.71 = 279.42/x
  3. Step 3: Cross multiply
    1,101.15x = 1,651.71 × 279.42
  4. Step 4: Simplify right side
    1,101.15x = 461,520.81
  5. Step 5: Solve for x
    x = 461,520.81/1,101.15
  6. Step 6: Final answer
    x = 419.13

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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.