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Finding the Fourth Proportional to 383.84, 529.43 and 236.53

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Solution

The fourth proportional to 383.84, 529.43 and 236.53 is: 326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 529.43 = 236.53 : x
  2. Step 2: Convert to fraction form
    383.84/529.43 = 236.53/x
  3. Step 3: Cross multiply
    383.84x = 529.43 × 236.53
  4. Step 4: Simplify right side
    383.84x = 125,223.57
  5. Step 5: Solve for x
    x = 125,223.57/383.84
  6. Step 6: Final answer
    x = 326.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.