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Finding the Fourth Proportional to 943.80, 1,415.50 and 294.18

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Solution

The fourth proportional to 943.80, 1,415.50 and 294.18 is: 441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.80 : 1,415.50 = 294.18 : x
  2. Step 2: Convert to fraction form
    943.80/1,415.50 = 294.18/x
  3. Step 3: Cross multiply
    943.80x = 1,415.50 × 294.18
  4. Step 4: Simplify right side
    943.80x = 416,411.05
  5. Step 5: Solve for x
    x = 416,411.05/943.80
  6. Step 6: Final answer
    x = 441.21

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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.