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Finding the Fourth Proportional to 283.87, 424.07 and 180.32

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Solution

The fourth proportional to 283.87, 424.07 and 180.32 is: 269.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 424.07 = 180.32 : x
  2. Step 2: Convert to fraction form
    283.87/424.07 = 180.32/x
  3. Step 3: Cross multiply
    283.87x = 424.07 × 180.32
  4. Step 4: Simplify right side
    283.87x = 76,468.75
  5. Step 5: Solve for x
    x = 76,468.75/283.87
  6. Step 6: Final answer
    x = 269.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.