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Finding the Fourth Proportional to 313.48, 431.70 and 307.09

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Solution

The fourth proportional to 313.48, 431.70 and 307.09 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.48 : 431.70 = 307.09 : x
  2. Step 2: Convert to fraction form
    313.48/431.70 = 307.09/x
  3. Step 3: Cross multiply
    313.48x = 431.70 × 307.09
  4. Step 4: Simplify right side
    313.48x = 132,570.75
  5. Step 5: Solve for x
    x = 132,570.75/313.48
  6. Step 6: Final answer
    x = 422.90

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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.