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Finding the Fourth Proportional to 912.10, 1,367.60 and 348.98

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Solution

The fourth proportional to 912.10, 1,367.60 and 348.98 is: 523.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.10 : 1,367.60 = 348.98 : x
  2. Step 2: Convert to fraction form
    912.10/1,367.60 = 348.98/x
  3. Step 3: Cross multiply
    912.10x = 1,367.60 × 348.98
  4. Step 4: Simplify right side
    912.10x = 477,265.05
  5. Step 5: Solve for x
    x = 477,265.05/912.10
  6. Step 6: Final answer
    x = 523.26

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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.