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Finding the Fourth Proportional to 365.23, 545.25 and 352.42

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Solution

The fourth proportional to 365.23, 545.25 and 352.42 is: 526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 545.25 = 352.42 : x
  2. Step 2: Convert to fraction form
    365.23/545.25 = 352.42/x
  3. Step 3: Cross multiply
    365.23x = 545.25 × 352.42
  4. Step 4: Simplify right side
    365.23x = 192,154.98
  5. Step 5: Solve for x
    x = 192,154.98/365.23
  6. Step 6: Final answer
    x = 526.11

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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.