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Finding the Fourth Proportional to 383.84, 573.28 and 374.12

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Solution

The fourth proportional to 383.84, 573.28 and 374.12 is: 558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.84 : 573.28 = 374.12 : x
  2. Step 2: Convert to fraction form
    383.84/573.28 = 374.12/x
  3. Step 3: Cross multiply
    383.84x = 573.28 × 374.12
  4. Step 4: Simplify right side
    383.84x = 214,475.51
  5. Step 5: Solve for x
    x = 214,475.51/383.84
  6. Step 6: Final answer
    x = 558.76

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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.