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Finding the Fourth Proportional to 529.06, 730.47 and 329.97

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Solution

The fourth proportional to 529.06, 730.47 and 329.97 is: 455.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.06 : 730.47 = 329.97 : x
  2. Step 2: Convert to fraction form
    529.06/730.47 = 329.97/x
  3. Step 3: Cross multiply
    529.06x = 730.47 × 329.97
  4. Step 4: Simplify right side
    529.06x = 241,031.64
  5. Step 5: Solve for x
    x = 241,031.64/529.06
  6. Step 6: Final answer
    x = 455.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.