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Finding the Fourth Proportional to 320.41, 477.57 and 302.77

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Solution

The fourth proportional to 320.41, 477.57 and 302.77 is: 451.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.41 : 477.57 = 302.77 : x
  2. Step 2: Convert to fraction form
    320.41/477.57 = 302.77/x
  3. Step 3: Cross multiply
    320.41x = 477.57 × 302.77
  4. Step 4: Simplify right side
    320.41x = 144,589.97
  5. Step 5: Solve for x
    x = 144,589.97/320.41
  6. Step 6: Final answer
    x = 451.27

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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.