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Finding the Fourth Proportional to 353.69, 529.42 and 243.35

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Solution

The fourth proportional to 353.69, 529.42 and 243.35 is: 364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.69 : 529.42 = 243.35 : x
  2. Step 2: Convert to fraction form
    353.69/529.42 = 243.35/x
  3. Step 3: Cross multiply
    353.69x = 529.42 × 243.35
  4. Step 4: Simplify right side
    353.69x = 128,835.07
  5. Step 5: Solve for x
    x = 128,835.07/353.69
  6. Step 6: Final answer
    x = 364.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.