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Finding the Fourth Proportional to 303.64, 418.02 and 262.72

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Solution

The fourth proportional to 303.64, 418.02 and 262.72 is: 361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.64 : 418.02 = 262.72 : x
  2. Step 2: Convert to fraction form
    303.64/418.02 = 262.72/x
  3. Step 3: Cross multiply
    303.64x = 418.02 × 262.72
  4. Step 4: Simplify right side
    303.64x = 109,822.21
  5. Step 5: Solve for x
    x = 109,822.21/303.64
  6. Step 6: Final answer
    x = 361.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.