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Finding the Fourth Proportional to 320.74, 477.80 and 300.82

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Solution

The fourth proportional to 320.74, 477.80 and 300.82 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.74 : 477.80 = 300.82 : x
  2. Step 2: Convert to fraction form
    320.74/477.80 = 300.82/x
  3. Step 3: Cross multiply
    320.74x = 477.80 × 300.82
  4. Step 4: Simplify right side
    320.74x = 143,731.80
  5. Step 5: Solve for x
    x = 143,731.80/320.74
  6. Step 6: Final answer
    x = 448.13

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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.