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Finding the Fourth Proportional to 313.64, 432.78 and 182.60

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Solution

The fourth proportional to 313.64, 432.78 and 182.60 is: 251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 432.78 = 182.60 : x
  2. Step 2: Convert to fraction form
    313.64/432.78 = 182.60/x
  3. Step 3: Cross multiply
    313.64x = 432.78 × 182.60
  4. Step 4: Simplify right side
    313.64x = 79,025.63
  5. Step 5: Solve for x
    x = 79,025.63/313.64
  6. Step 6: Final answer
    x = 251.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.