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Finding the Fourth Proportional to 385.72, 577.66 and 212.12

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Solution

The fourth proportional to 385.72, 577.66 and 212.12 is: 317.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.72 : 577.66 = 212.12 : x
  2. Step 2: Convert to fraction form
    385.72/577.66 = 212.12/x
  3. Step 3: Cross multiply
    385.72x = 577.66 × 212.12
  4. Step 4: Simplify right side
    385.72x = 122,533.24
  5. Step 5: Solve for x
    x = 122,533.24/385.72
  6. Step 6: Final answer
    x = 317.67

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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.