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Finding the Fourth Proportional to 383.02, 576.90 and 349.72

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Solution

The fourth proportional to 383.02, 576.90 and 349.72 is: 526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.02 : 576.90 = 349.72 : x
  2. Step 2: Convert to fraction form
    383.02/576.90 = 349.72/x
  3. Step 3: Cross multiply
    383.02x = 576.90 × 349.72
  4. Step 4: Simplify right side
    383.02x = 201,751.72
  5. Step 5: Solve for x
    x = 201,751.72/383.02
  6. Step 6: Final answer
    x = 526.74

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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.