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Finding the Fourth Proportional to 315.12, 434.34 and 241.32

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Solution

The fourth proportional to 315.12, 434.34 and 241.32 is: 332.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.12 : 434.34 = 241.32 : x
  2. Step 2: Convert to fraction form
    315.12/434.34 = 241.32/x
  3. Step 3: Cross multiply
    315.12x = 434.34 × 241.32
  4. Step 4: Simplify right side
    315.12x = 104,814.93
  5. Step 5: Solve for x
    x = 104,814.93/315.12
  6. Step 6: Final answer
    x = 332.62

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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.