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Finding the Fourth Proportional to 340.34, 513.27 and 313.61

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Solution

The fourth proportional to 340.34, 513.27 and 313.61 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.34 : 513.27 = 313.61 : x
  2. Step 2: Convert to fraction form
    340.34/513.27 = 313.61/x
  3. Step 3: Cross multiply
    340.34x = 513.27 × 313.61
  4. Step 4: Simplify right side
    340.34x = 160,964.04
  5. Step 5: Solve for x
    x = 160,964.04/340.34
  6. Step 6: Final answer
    x = 472.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.