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Finding the Fourth Proportional to 312.55, 469.26 and 175.68

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Solution

The fourth proportional to 312.55, 469.26 and 175.68 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.55 : 469.26 = 175.68 : x
  2. Step 2: Convert to fraction form
    312.55/469.26 = 175.68/x
  3. Step 3: Cross multiply
    312.55x = 469.26 × 175.68
  4. Step 4: Simplify right side
    312.55x = 82,439.60
  5. Step 5: Solve for x
    x = 82,439.60/312.55
  6. Step 6: Final answer
    x = 263.76

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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.