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Finding the Fourth Proportional to 365.90, 546.25 and 353.09

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Solution

The fourth proportional to 365.90, 546.25 and 353.09 is: 527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.90 : 546.25 = 353.09 : x
  2. Step 2: Convert to fraction form
    365.90/546.25 = 353.09/x
  3. Step 3: Cross multiply
    365.90x = 546.25 × 353.09
  4. Step 4: Simplify right side
    365.90x = 192,875.41
  5. Step 5: Solve for x
    x = 192,875.41/365.90
  6. Step 6: Final answer
    x = 527.13

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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.