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Finding the Fourth Proportional to 383.24, 573.60 and 291.43

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Solution

The fourth proportional to 383.24, 573.60 and 291.43 is: 436.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.24 : 573.60 = 291.43 : x
  2. Step 2: Convert to fraction form
    383.24/573.60 = 291.43/x
  3. Step 3: Cross multiply
    383.24x = 573.60 × 291.43
  4. Step 4: Simplify right side
    383.24x = 167,164.25
  5. Step 5: Solve for x
    x = 167,164.25/383.24
  6. Step 6: Final answer
    x = 436.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.