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Finding the Fourth Proportional to 318.01, 438.70 and 199.93

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Solution

The fourth proportional to 318.01, 438.70 and 199.93 is: 275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.01 : 438.70 = 199.93 : x
  2. Step 2: Convert to fraction form
    318.01/438.70 = 199.93/x
  3. Step 3: Cross multiply
    318.01x = 438.70 × 199.93
  4. Step 4: Simplify right side
    318.01x = 87,709.29
  5. Step 5: Solve for x
    x = 87,709.29/318.01
  6. Step 6: Final answer
    x = 275.81

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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.