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Finding the Fourth Proportional to 942.75, 1,414.13 and 258.75

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Solution

The fourth proportional to 942.75, 1,414.13 and 258.75 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,414.13 = 258.75 : x
  2. Step 2: Convert to fraction form
    942.75/1,414.13 = 258.75/x
  3. Step 3: Cross multiply
    942.75x = 1,414.13 × 258.75
  4. Step 4: Simplify right side
    942.75x = 365,904.84
  5. Step 5: Solve for x
    x = 365,904.84/942.75
  6. Step 6: Final answer
    x = 388.13

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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.