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Finding the Fourth Proportional to 338.64, 469.08 and 311.28

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Solution

The fourth proportional to 338.64, 469.08 and 311.28 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 469.08 = 311.28 : x
  2. Step 2: Convert to fraction form
    338.64/469.08 = 311.28/x
  3. Step 3: Cross multiply
    338.64x = 469.08 × 311.28
  4. Step 4: Simplify right side
    338.64x = 146,015.22
  5. Step 5: Solve for x
    x = 146,015.22/338.64
  6. Step 6: Final answer
    x = 431.18

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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.