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Finding the Fourth Proportional to 365.45, 545.16 and 353.09

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Solution

The fourth proportional to 365.45, 545.16 and 353.09 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.45 : 545.16 = 353.09 : x
  2. Step 2: Convert to fraction form
    365.45/545.16 = 353.09/x
  3. Step 3: Cross multiply
    365.45x = 545.16 × 353.09
  4. Step 4: Simplify right side
    365.45x = 192,493.23
  5. Step 5: Solve for x
    x = 192,493.23/365.45
  6. Step 6: Final answer
    x = 526.74

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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.