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Finding the Fourth Proportional to 287.58, 433.79 and 270.74

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Solution

The fourth proportional to 287.58, 433.79 and 270.74 is: 408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.58 : 433.79 = 270.74 : x
  2. Step 2: Convert to fraction form
    287.58/433.79 = 270.74/x
  3. Step 3: Cross multiply
    287.58x = 433.79 × 270.74
  4. Step 4: Simplify right side
    287.58x = 117,445.05
  5. Step 5: Solve for x
    x = 117,445.05/287.58
  6. Step 6: Final answer
    x = 408.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.