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Finding the Fourth Proportional to 313.72, 433.29 and 309.40

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Solution

The fourth proportional to 313.72, 433.29 and 309.40 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 433.29 = 309.40 : x
  2. Step 2: Convert to fraction form
    313.72/433.29 = 309.40/x
  3. Step 3: Cross multiply
    313.72x = 433.29 × 309.40
  4. Step 4: Simplify right side
    313.72x = 134,059.93
  5. Step 5: Solve for x
    x = 134,059.93/313.72
  6. Step 6: Final answer
    x = 427.32

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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.