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Finding the Fourth Proportional to 313.98, 469.11 and 303.21

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Solution

The fourth proportional to 313.98, 469.11 and 303.21 is: 453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 469.11 = 303.21 : x
  2. Step 2: Convert to fraction form
    313.98/469.11 = 303.21/x
  3. Step 3: Cross multiply
    313.98x = 469.11 × 303.21
  4. Step 4: Simplify right side
    313.98x = 142,239.72
  5. Step 5: Solve for x
    x = 142,239.72/313.98
  6. Step 6: Final answer
    x = 453.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.