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Finding the Fourth Proportional to 341.91, 513.32 and 313.26

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Solution

The fourth proportional to 341.91, 513.32 and 313.26 is: 470.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 513.32 = 313.26 : x
  2. Step 2: Convert to fraction form
    341.91/513.32 = 313.26/x
  3. Step 3: Cross multiply
    341.91x = 513.32 × 313.26
  4. Step 4: Simplify right side
    341.91x = 160,802.62
  5. Step 5: Solve for x
    x = 160,802.62/341.91
  6. Step 6: Final answer
    x = 470.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.