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Finding the Fourth Proportional to 383.76, 577.08 and 262.80

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Solution

The fourth proportional to 383.76, 577.08 and 262.80 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.76 : 577.08 = 262.80 : x
  2. Step 2: Convert to fraction form
    383.76/577.08 = 262.80/x
  3. Step 3: Cross multiply
    383.76x = 577.08 × 262.80
  4. Step 4: Simplify right side
    383.76x = 151,656.62
  5. Step 5: Solve for x
    x = 151,656.62/383.76
  6. Step 6: Final answer
    x = 395.19

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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.