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Finding the Fourth Proportional to 314.77, 434.37 and 204.31

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Solution

The fourth proportional to 314.77, 434.37 and 204.31 is: 281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.77 : 434.37 = 204.31 : x
  2. Step 2: Convert to fraction form
    314.77/434.37 = 204.31/x
  3. Step 3: Cross multiply
    314.77x = 434.37 × 204.31
  4. Step 4: Simplify right side
    314.77x = 88,746.13
  5. Step 5: Solve for x
    x = 88,746.13/314.77
  6. Step 6: Final answer
    x = 281.94

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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.