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Finding the Fourth Proportional to 283.08, 423.90 and 174.54

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Solution

The fourth proportional to 283.08, 423.90 and 174.54 is: 261.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.08 : 423.90 = 174.54 : x
  2. Step 2: Convert to fraction form
    283.08/423.90 = 174.54/x
  3. Step 3: Cross multiply
    283.08x = 423.90 × 174.54
  4. Step 4: Simplify right side
    283.08x = 73,987.51
  5. Step 5: Solve for x
    x = 73,987.51/283.08
  6. Step 6: Final answer
    x = 261.37

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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.