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Finding the Fourth Proportional to 357.40, 535.79 and 212.81

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Solution

The fourth proportional to 357.40, 535.79 and 212.81 is: 319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 535.79 = 212.81 : x
  2. Step 2: Convert to fraction form
    357.40/535.79 = 212.81/x
  3. Step 3: Cross multiply
    357.40x = 535.79 × 212.81
  4. Step 4: Simplify right side
    357.40x = 114,023.34
  5. Step 5: Solve for x
    x = 114,023.34/357.40
  6. Step 6: Final answer
    x = 319.04

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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.