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Finding the Fourth Proportional to 243.99, 336.42 and 145.71

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Solution

The fourth proportional to 243.99, 336.42 and 145.71 is: 200.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.99 : 336.42 = 145.71 : x
  2. Step 2: Convert to fraction form
    243.99/336.42 = 145.71/x
  3. Step 3: Cross multiply
    243.99x = 336.42 × 145.71
  4. Step 4: Simplify right side
    243.99x = 49,019.76
  5. Step 5: Solve for x
    x = 49,019.76/243.99
  6. Step 6: Final answer
    x = 200.91

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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.