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Finding the Fourth Proportional to 314.86, 434.56 and 182.16

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Solution

The fourth proportional to 314.86, 434.56 and 182.16 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.86 : 434.56 = 182.16 : x
  2. Step 2: Convert to fraction form
    314.86/434.56 = 182.16/x
  3. Step 3: Cross multiply
    314.86x = 434.56 × 182.16
  4. Step 4: Simplify right side
    314.86x = 79,157.28
  5. Step 5: Solve for x
    x = 79,157.28/314.86
  6. Step 6: Final answer
    x = 251.41

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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.