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Finding the Fourth Proportional to 338.24, 505.04 and 312.32

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Solution

The fourth proportional to 338.24, 505.04 and 312.32 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 505.04 = 312.32 : x
  2. Step 2: Convert to fraction form
    338.24/505.04 = 312.32/x
  3. Step 3: Cross multiply
    338.24x = 505.04 × 312.32
  4. Step 4: Simplify right side
    338.24x = 157,733.79
  5. Step 5: Solve for x
    x = 157,733.79/338.24
  6. Step 6: Final answer
    x = 466.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.