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Finding the Fourth Proportional to 262.40, 364.80 and 262.40

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Solution

The fourth proportional to 262.40, 364.80 and 262.40 is: 364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 364.80 = 262.40 : x
  2. Step 2: Convert to fraction form
    262.40/364.80 = 262.40/x
  3. Step 3: Cross multiply
    262.40x = 364.80 × 262.40
  4. Step 4: Simplify right side
    262.40x = 95,723.52
  5. Step 5: Solve for x
    x = 95,723.52/262.40
  6. Step 6: Final answer
    x = 364.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.