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Finding the Fourth Proportional to 313.05, 467.31 and 301.51

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Solution

The fourth proportional to 313.05, 467.31 and 301.51 is: 450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 467.31 = 301.51 : x
  2. Step 2: Convert to fraction form
    313.05/467.31 = 301.51/x
  3. Step 3: Cross multiply
    313.05x = 467.31 × 301.51
  4. Step 4: Simplify right side
    313.05x = 140,898.64
  5. Step 5: Solve for x
    x = 140,898.64/313.05
  6. Step 6: Final answer
    x = 450.08

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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.