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Finding the Fourth Proportional to 292.75, 442.44 and 287.71

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Solution

The fourth proportional to 292.75, 442.44 and 287.71 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 442.44 = 287.71 : x
  2. Step 2: Convert to fraction form
    292.75/442.44 = 287.71/x
  3. Step 3: Cross multiply
    292.75x = 442.44 × 287.71
  4. Step 4: Simplify right side
    292.75x = 127,294.41
  5. Step 5: Solve for x
    x = 127,294.41/292.75
  6. Step 6: Final answer
    x = 434.82

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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.