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Finding the Fourth Proportional to 320.22, 477.84 and 283.77

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Solution

The fourth proportional to 320.22, 477.84 and 283.77 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 477.84 = 283.77 : x
  2. Step 2: Convert to fraction form
    320.22/477.84 = 283.77/x
  3. Step 3: Cross multiply
    320.22x = 477.84 × 283.77
  4. Step 4: Simplify right side
    320.22x = 135,596.66
  5. Step 5: Solve for x
    x = 135,596.66/320.22
  6. Step 6: Final answer
    x = 423.45

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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.