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Finding the Fourth Proportional to 351.42, 529.07 and 275.39

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Solution

The fourth proportional to 351.42, 529.07 and 275.39 is: 414.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 529.07 = 275.39 : x
  2. Step 2: Convert to fraction form
    351.42/529.07 = 275.39/x
  3. Step 3: Cross multiply
    351.42x = 529.07 × 275.39
  4. Step 4: Simplify right side
    351.42x = 145,696.57
  5. Step 5: Solve for x
    x = 145,696.57/351.42
  6. Step 6: Final answer
    x = 414.59

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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.