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Finding the Fourth Proportional to 218.57, 299.67 and 214.67

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Solution

The fourth proportional to 218.57, 299.67 and 214.67 is: 294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.57 : 299.67 = 214.67 : x
  2. Step 2: Convert to fraction form
    218.57/299.67 = 214.67/x
  3. Step 3: Cross multiply
    218.57x = 299.67 × 214.67
  4. Step 4: Simplify right side
    218.57x = 64,330.16
  5. Step 5: Solve for x
    x = 64,330.16/218.57
  6. Step 6: Final answer
    x = 294.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.