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Finding the Fourth Proportional to 383.46, 577.28 and 349.44

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Solution

The fourth proportional to 383.46, 577.28 and 349.44 is: 526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.46 : 577.28 = 349.44 : x
  2. Step 2: Convert to fraction form
    383.46/577.28 = 349.44/x
  3. Step 3: Cross multiply
    383.46x = 577.28 × 349.44
  4. Step 4: Simplify right side
    383.46x = 201,724.72
  5. Step 5: Solve for x
    x = 201,724.72/383.46
  6. Step 6: Final answer
    x = 526.06

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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.