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Finding the Fourth Proportional to 383.64, 571.64 and 365.04

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Solution

The fourth proportional to 383.64, 571.64 and 365.04 is: 543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.64 : 571.64 = 365.04 : x
  2. Step 2: Convert to fraction form
    383.64/571.64 = 365.04/x
  3. Step 3: Cross multiply
    383.64x = 571.64 × 365.04
  4. Step 4: Simplify right side
    383.64x = 208,671.47
  5. Step 5: Solve for x
    x = 208,671.47/383.64
  6. Step 6: Final answer
    x = 543.93

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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.