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Finding the Fourth Proportional to 314.42, 434.16 and 216.41

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Solution

The fourth proportional to 314.42, 434.16 and 216.41 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 434.16 = 216.41 : x
  2. Step 2: Convert to fraction form
    314.42/434.16 = 216.41/x
  3. Step 3: Cross multiply
    314.42x = 434.16 × 216.41
  4. Step 4: Simplify right side
    314.42x = 93,954.39
  5. Step 5: Solve for x
    x = 93,954.39/314.42
  6. Step 6: Final answer
    x = 298.82

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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.