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Finding the Fourth Proportional to 514.63, 710.19 and 281.75

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Solution

The fourth proportional to 514.63, 710.19 and 281.75 is: 388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.63 : 710.19 = 281.75 : x
  2. Step 2: Convert to fraction form
    514.63/710.19 = 281.75/x
  3. Step 3: Cross multiply
    514.63x = 710.19 × 281.75
  4. Step 4: Simplify right side
    514.63x = 200,096.03
  5. Step 5: Solve for x
    x = 200,096.03/514.63
  6. Step 6: Final answer
    x = 388.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.