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Finding the Fourth Proportional to 354.56, 528.72 and 313.25

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Solution

The fourth proportional to 354.56, 528.72 and 313.25 is: 467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.56 : 528.72 = 313.25 : x
  2. Step 2: Convert to fraction form
    354.56/528.72 = 313.25/x
  3. Step 3: Cross multiply
    354.56x = 528.72 × 313.25
  4. Step 4: Simplify right side
    354.56x = 165,621.54
  5. Step 5: Solve for x
    x = 165,621.54/354.56
  6. Step 6: Final answer
    x = 467.12

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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.