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Finding the Fourth Proportional to 365.90, 546.70 and 353.14

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Solution

The fourth proportional to 365.90, 546.70 and 353.14 is: 527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 546.70 = 353.14 : x
  2. Step 2: Convert to fraction form
    365.90/546.70 = 353.14/x
  3. Step 3: Cross multiply
    365.90x = 546.70 × 353.14
  4. Step 4: Simplify right side
    365.90x = 193,057.14
  5. Step 5: Solve for x
    x = 193,057.14/365.90
  6. Step 6: Final answer
    x = 527.63

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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.