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Finding the Fourth Proportional to 529.21, 729.34 and 351.86

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Solution

The fourth proportional to 529.21, 729.34 and 351.86 is: 484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.21 : 729.34 = 351.86 : x
  2. Step 2: Convert to fraction form
    529.21/729.34 = 351.86/x
  3. Step 3: Cross multiply
    529.21x = 729.34 × 351.86
  4. Step 4: Simplify right side
    529.21x = 256,625.57
  5. Step 5: Solve for x
    x = 256,625.57/529.21
  6. Step 6: Final answer
    x = 484.92

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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.