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Finding the Fourth Proportional to 313.30, 435.34 and 309.42

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Solution

The fourth proportional to 313.30, 435.34 and 309.42 is: 429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.30 : 435.34 = 309.42 : x
  2. Step 2: Convert to fraction form
    313.30/435.34 = 309.42/x
  3. Step 3: Cross multiply
    313.30x = 435.34 × 309.42
  4. Step 4: Simplify right side
    313.30x = 134,701.36
  5. Step 5: Solve for x
    x = 134,701.36/313.30
  6. Step 6: Final answer
    x = 429.94

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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.