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Finding the Fourth Proportional to 351.29, 482.99 and 313.61

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Solution

The fourth proportional to 351.29, 482.99 and 313.61 is: 431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.29 : 482.99 = 313.61 : x
  2. Step 2: Convert to fraction form
    351.29/482.99 = 313.61/x
  3. Step 3: Cross multiply
    351.29x = 482.99 × 313.61
  4. Step 4: Simplify right side
    351.29x = 151,466.51
  5. Step 5: Solve for x
    x = 151,466.51/351.29
  6. Step 6: Final answer
    x = 431.17

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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.