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Finding the Fourth Proportional to 855.31, 1,281.90 and 367.80

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Solution

The fourth proportional to 855.31, 1,281.90 and 367.80 is: 551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.31 : 1,281.90 = 367.80 : x
  2. Step 2: Convert to fraction form
    855.31/1,281.90 = 367.80/x
  3. Step 3: Cross multiply
    855.31x = 1,281.90 × 367.80
  4. Step 4: Simplify right side
    855.31x = 471,482.82
  5. Step 5: Solve for x
    x = 471,482.82/855.31
  6. Step 6: Final answer
    x = 551.24

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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.