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Finding the Fourth Proportional to 365.85, 549.24 and 262.89

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Solution

The fourth proportional to 365.85, 549.24 and 262.89 is: 394.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.85 : 549.24 = 262.89 : x
  2. Step 2: Convert to fraction form
    365.85/549.24 = 262.89/x
  3. Step 3: Cross multiply
    365.85x = 549.24 × 262.89
  4. Step 4: Simplify right side
    365.85x = 144,389.70
  5. Step 5: Solve for x
    x = 144,389.70/365.85
  6. Step 6: Final answer
    x = 394.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.