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Finding the Fourth Proportional to 407.40, 609.96 and 262.68

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Solution

The fourth proportional to 407.40, 609.96 and 262.68 is: 393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.40 : 609.96 = 262.68 : x
  2. Step 2: Convert to fraction form
    407.40/609.96 = 262.68/x
  3. Step 3: Cross multiply
    407.40x = 609.96 × 262.68
  4. Step 4: Simplify right side
    407.40x = 160,224.29
  5. Step 5: Solve for x
    x = 160,224.29/407.40
  6. Step 6: Final answer
    x = 393.28

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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.