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Finding the Fourth Proportional to 383.15, 572.32 and 376.67

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Solution

The fourth proportional to 383.15, 572.32 and 376.67 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.15 : 572.32 = 376.67 : x
  2. Step 2: Convert to fraction form
    383.15/572.32 = 376.67/x
  3. Step 3: Cross multiply
    383.15x = 572.32 × 376.67
  4. Step 4: Simplify right side
    383.15x = 215,575.77
  5. Step 5: Solve for x
    x = 215,575.77/383.15
  6. Step 6: Final answer
    x = 562.64

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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.