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Finding the Fourth Proportional to 383.72, 576.45 and 303.53

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Solution

The fourth proportional to 383.72, 576.45 and 303.53 is: 455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 576.45 = 303.53 : x
  2. Step 2: Convert to fraction form
    383.72/576.45 = 303.53/x
  3. Step 3: Cross multiply
    383.72x = 576.45 × 303.53
  4. Step 4: Simplify right side
    383.72x = 174,966.99
  5. Step 5: Solve for x
    x = 174,966.99/383.72
  6. Step 6: Final answer
    x = 455.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.