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Finding the Fourth Proportional to 353.56, 527.23 and 312.25

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Solution

The fourth proportional to 353.56, 527.23 and 312.25 is: 465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.56 : 527.23 = 312.25 : x
  2. Step 2: Convert to fraction form
    353.56/527.23 = 312.25/x
  3. Step 3: Cross multiply
    353.56x = 527.23 × 312.25
  4. Step 4: Simplify right side
    353.56x = 164,627.57
  5. Step 5: Solve for x
    x = 164,627.57/353.56
  6. Step 6: Final answer
    x = 465.63

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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.