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Finding the Fourth Proportional to 315.69, 436.06 and 217.27

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Solution

The fourth proportional to 315.69, 436.06 and 217.27 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.69 : 436.06 = 217.27 : x
  2. Step 2: Convert to fraction form
    315.69/436.06 = 217.27/x
  3. Step 3: Cross multiply
    315.69x = 436.06 × 217.27
  4. Step 4: Simplify right side
    315.69x = 94,742.76
  5. Step 5: Solve for x
    x = 94,742.76/315.69
  6. Step 6: Final answer
    x = 300.11

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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.