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Finding the Fourth Proportional to 315.73, 435.14 and 242.15

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Solution

The fourth proportional to 315.73, 435.14 and 242.15 is: 333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.73 : 435.14 = 242.15 : x
  2. Step 2: Convert to fraction form
    315.73/435.14 = 242.15/x
  3. Step 3: Cross multiply
    315.73x = 435.14 × 242.15
  4. Step 4: Simplify right side
    315.73x = 105,367.58
  5. Step 5: Solve for x
    x = 105,367.58/315.73
  6. Step 6: Final answer
    x = 333.73

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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.