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Finding the Fourth Proportional to 312.92, 469.58 and 174.23

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Solution

The fourth proportional to 312.92, 469.58 and 174.23 is: 261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.92 : 469.58 = 174.23 : x
  2. Step 2: Convert to fraction form
    312.92/469.58 = 174.23/x
  3. Step 3: Cross multiply
    312.92x = 469.58 × 174.23
  4. Step 4: Simplify right side
    312.92x = 81,811.70
  5. Step 5: Solve for x
    x = 81,811.70/312.92
  6. Step 6: Final answer
    x = 261.45

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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.