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Finding the Fourth Proportional to 295.79, 407.97 and 217.08

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Solution

The fourth proportional to 295.79, 407.97 and 217.08 is: 299.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.79 : 407.97 = 217.08 : x
  2. Step 2: Convert to fraction form
    295.79/407.97 = 217.08/x
  3. Step 3: Cross multiply
    295.79x = 407.97 × 217.08
  4. Step 4: Simplify right side
    295.79x = 88,561.36
  5. Step 5: Solve for x
    x = 88,561.36/295.79
  6. Step 6: Final answer
    x = 299.41

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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.