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Finding the Fourth Proportional to 353.64, 528.10 and 349.82

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Solution

The fourth proportional to 353.64, 528.10 and 349.82 is: 522.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.64 : 528.10 = 349.82 : x
  2. Step 2: Convert to fraction form
    353.64/528.10 = 349.82/x
  3. Step 3: Cross multiply
    353.64x = 528.10 × 349.82
  4. Step 4: Simplify right side
    353.64x = 184,739.94
  5. Step 5: Solve for x
    x = 184,739.94/353.64
  6. Step 6: Final answer
    x = 522.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.