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Finding the Fourth Proportional to 283.57, 425.35 and 129.54

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Solution

The fourth proportional to 283.57, 425.35 and 129.54 is: 194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 425.35 = 129.54 : x
  2. Step 2: Convert to fraction form
    283.57/425.35 = 129.54/x
  3. Step 3: Cross multiply
    283.57x = 425.35 × 129.54
  4. Step 4: Simplify right side
    283.57x = 55,097.71
  5. Step 5: Solve for x
    x = 55,097.71/283.57
  6. Step 6: Final answer
    x = 194.30

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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.