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Finding the Fourth Proportional to 312.51, 465.39 and 301.71

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Solution

The fourth proportional to 312.51, 465.39 and 301.71 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 465.39 = 301.71 : x
  2. Step 2: Convert to fraction form
    312.51/465.39 = 301.71/x
  3. Step 3: Cross multiply
    312.51x = 465.39 × 301.71
  4. Step 4: Simplify right side
    312.51x = 140,412.82
  5. Step 5: Solve for x
    x = 140,412.82/312.51
  6. Step 6: Final answer
    x = 449.31

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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.