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Finding the Fourth Proportional to 212.86, 293.85 and 154.78

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Solution

The fourth proportional to 212.86, 293.85 and 154.78 is: 213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.86 : 293.85 = 154.78 : x
  2. Step 2: Convert to fraction form
    212.86/293.85 = 154.78/x
  3. Step 3: Cross multiply
    212.86x = 293.85 × 154.78
  4. Step 4: Simplify right side
    212.86x = 45,482.10
  5. Step 5: Solve for x
    x = 45,482.10/212.86
  6. Step 6: Final answer
    x = 213.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.