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Finding the Fourth Proportional to 351.47, 529.27 and 306.35

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Solution

The fourth proportional to 351.47, 529.27 and 306.35 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.47 : 529.27 = 306.35 : x
  2. Step 2: Convert to fraction form
    351.47/529.27 = 306.35/x
  3. Step 3: Cross multiply
    351.47x = 529.27 × 306.35
  4. Step 4: Simplify right side
    351.47x = 162,140.44
  5. Step 5: Solve for x
    x = 162,140.44/351.47
  6. Step 6: Final answer
    x = 461.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.