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Finding the Fourth Proportional to 312.64, 468.91 and 182.70

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Solution

The fourth proportional to 312.64, 468.91 and 182.70 is: 274.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 468.91 = 182.70 : x
  2. Step 2: Convert to fraction form
    312.64/468.91 = 182.70/x
  3. Step 3: Cross multiply
    312.64x = 468.91 × 182.70
  4. Step 4: Simplify right side
    312.64x = 85,669.86
  5. Step 5: Solve for x
    x = 85,669.86/312.64
  6. Step 6: Final answer
    x = 274.02

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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.