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Finding the Fourth Proportional to 383.84, 577.83 and 297.68

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Solution

The fourth proportional to 383.84, 577.83 and 297.68 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 577.83 = 297.68 : x
  2. Step 2: Convert to fraction form
    383.84/577.83 = 297.68/x
  3. Step 3: Cross multiply
    383.84x = 577.83 × 297.68
  4. Step 4: Simplify right side
    383.84x = 172,006.66
  5. Step 5: Solve for x
    x = 172,006.66/383.84
  6. Step 6: Final answer
    x = 448.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.