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Finding the Fourth Proportional to 283.04, 425.36 and 263.60

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Solution

The fourth proportional to 283.04, 425.36 and 263.60 is: 396.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 425.36 = 263.60 : x
  2. Step 2: Convert to fraction form
    283.04/425.36 = 263.60/x
  3. Step 3: Cross multiply
    283.04x = 425.36 × 263.60
  4. Step 4: Simplify right side
    283.04x = 112,124.90
  5. Step 5: Solve for x
    x = 112,124.90/283.04
  6. Step 6: Final answer
    x = 396.15

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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.