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Finding the Fourth Proportional to 351.06, 524.10 and 314.34

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Solution

The fourth proportional to 351.06, 524.10 and 314.34 is: 469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.06 : 524.10 = 314.34 : x
  2. Step 2: Convert to fraction form
    351.06/524.10 = 314.34/x
  3. Step 3: Cross multiply
    351.06x = 524.10 × 314.34
  4. Step 4: Simplify right side
    351.06x = 164,745.59
  5. Step 5: Solve for x
    x = 164,745.59/351.06
  6. Step 6: Final answer
    x = 469.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.