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Finding the Fourth Proportional to 405.42, 609.36 and 262.05

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Solution

The fourth proportional to 405.42, 609.36 and 262.05 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 609.36 = 262.05 : x
  2. Step 2: Convert to fraction form
    405.42/609.36 = 262.05/x
  3. Step 3: Cross multiply
    405.42x = 609.36 × 262.05
  4. Step 4: Simplify right side
    405.42x = 159,682.79
  5. Step 5: Solve for x
    x = 159,682.79/405.42
  6. Step 6: Final answer
    x = 393.87

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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.