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Finding the Fourth Proportional to 365.04, 545.27 and 266.67

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Solution

The fourth proportional to 365.04, 545.27 and 266.67 is: 398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 545.27 = 266.67 : x
  2. Step 2: Convert to fraction form
    365.04/545.27 = 266.67/x
  3. Step 3: Cross multiply
    365.04x = 545.27 × 266.67
  4. Step 4: Simplify right side
    365.04x = 145,405.82
  5. Step 5: Solve for x
    x = 145,405.82/365.04
  6. Step 6: Final answer
    x = 398.33

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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.