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Finding the Fourth Proportional to 351.72, 528.48 and 313.56

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Solution

The fourth proportional to 351.72, 528.48 and 313.56 is: 471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.72 : 528.48 = 313.56 : x
  2. Step 2: Convert to fraction form
    351.72/528.48 = 313.56/x
  3. Step 3: Cross multiply
    351.72x = 528.48 × 313.56
  4. Step 4: Simplify right side
    351.72x = 165,710.19
  5. Step 5: Solve for x
    x = 165,710.19/351.72
  6. Step 6: Final answer
    x = 471.14

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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.