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Finding the Fourth Proportional to 354.89, 529.86 and 333.02

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Solution

The fourth proportional to 354.89, 529.86 and 333.02 is: 497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.89 : 529.86 = 333.02 : x
  2. Step 2: Convert to fraction form
    354.89/529.86 = 333.02/x
  3. Step 3: Cross multiply
    354.89x = 529.86 × 333.02
  4. Step 4: Simplify right side
    354.89x = 176,453.98
  5. Step 5: Solve for x
    x = 176,453.98/354.89
  6. Step 6: Final answer
    x = 497.21

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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.