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Finding the Fourth Proportional to 313.77, 436.47 and 307.83

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Solution

The fourth proportional to 313.77, 436.47 and 307.83 is: 428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.77 : 436.47 = 307.83 : x
  2. Step 2: Convert to fraction form
    313.77/436.47 = 307.83/x
  3. Step 3: Cross multiply
    313.77x = 436.47 × 307.83
  4. Step 4: Simplify right side
    313.77x = 134,358.56
  5. Step 5: Solve for x
    x = 134,358.56/313.77
  6. Step 6: Final answer
    x = 428.21

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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.