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Finding the Fourth Proportional to 283.13, 423.88 and 261.60

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Solution

The fourth proportional to 283.13, 423.88 and 261.60 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 423.88 = 261.60 : x
  2. Step 2: Convert to fraction form
    283.13/423.88 = 261.60/x
  3. Step 3: Cross multiply
    283.13x = 423.88 × 261.60
  4. Step 4: Simplify right side
    283.13x = 110,887.01
  5. Step 5: Solve for x
    x = 110,887.01/283.13
  6. Step 6: Final answer
    x = 391.65

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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.