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Finding the Fourth Proportional to 354.93, 529.86 and 329.55

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Solution

The fourth proportional to 354.93, 529.86 and 329.55 is: 491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.93 : 529.86 = 329.55 : x
  2. Step 2: Convert to fraction form
    354.93/529.86 = 329.55/x
  3. Step 3: Cross multiply
    354.93x = 529.86 × 329.55
  4. Step 4: Simplify right side
    354.93x = 174,615.36
  5. Step 5: Solve for x
    x = 174,615.36/354.93
  6. Step 6: Final answer
    x = 491.97

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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.