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Finding the Fourth Proportional to 338.19, 465.70 and 313.69

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Solution

The fourth proportional to 338.19, 465.70 and 313.69 is: 431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.19 : 465.70 = 313.69 : x
  2. Step 2: Convert to fraction form
    338.19/465.70 = 313.69/x
  3. Step 3: Cross multiply
    338.19x = 465.70 × 313.69
  4. Step 4: Simplify right side
    338.19x = 146,085.43
  5. Step 5: Solve for x
    x = 146,085.43/338.19
  6. Step 6: Final answer
    x = 431.96

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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.