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Finding the Fourth Proportional to 314.15, 431.66 and 281.34

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Solution

The fourth proportional to 314.15, 431.66 and 281.34 is: 386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 431.66 = 281.34 : x
  2. Step 2: Convert to fraction form
    314.15/431.66 = 281.34/x
  3. Step 3: Cross multiply
    314.15x = 431.66 × 281.34
  4. Step 4: Simplify right side
    314.15x = 121,443.93
  5. Step 5: Solve for x
    x = 121,443.93/314.15
  6. Step 6: Final answer
    x = 386.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.