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Finding the Fourth Proportional to 558.81, 838.35 and 212.16

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Solution

The fourth proportional to 558.81, 838.35 and 212.16 is: 318.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.81 : 838.35 = 212.16 : x
  2. Step 2: Convert to fraction form
    558.81/838.35 = 212.16/x
  3. Step 3: Cross multiply
    558.81x = 838.35 × 212.16
  4. Step 4: Simplify right side
    558.81x = 177,864.34
  5. Step 5: Solve for x
    x = 177,864.34/558.81
  6. Step 6: Final answer
    x = 318.29

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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.