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Finding the Fourth Proportional to 315.14, 434.51 and 241.34

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Solution

The fourth proportional to 315.14, 434.51 and 241.34 is: 332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 434.51 = 241.34 : x
  2. Step 2: Convert to fraction form
    315.14/434.51 = 241.34/x
  3. Step 3: Cross multiply
    315.14x = 434.51 × 241.34
  4. Step 4: Simplify right side
    315.14x = 104,865.43
  5. Step 5: Solve for x
    x = 104,865.43/315.14
  6. Step 6: Final answer
    x = 332.76

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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.