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Finding the Fourth Proportional to 357.54, 533.06 and 351.06

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Solution

The fourth proportional to 357.54, 533.06 and 351.06 is: 523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.54 : 533.06 = 351.06 : x
  2. Step 2: Convert to fraction form
    357.54/533.06 = 351.06/x
  3. Step 3: Cross multiply
    357.54x = 533.06 × 351.06
  4. Step 4: Simplify right side
    357.54x = 187,134.29
  5. Step 5: Solve for x
    x = 187,134.29/357.54
  6. Step 6: Final answer
    x = 523.39

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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.