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Finding the Fourth Proportional to 315.44, 434.64 and 216.98

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Solution

The fourth proportional to 315.44, 434.64 and 216.98 is: 298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.44 : 434.64 = 216.98 : x
  2. Step 2: Convert to fraction form
    315.44/434.64 = 216.98/x
  3. Step 3: Cross multiply
    315.44x = 434.64 × 216.98
  4. Step 4: Simplify right side
    315.44x = 94,308.19
  5. Step 5: Solve for x
    x = 94,308.19/315.44
  6. Step 6: Final answer
    x = 298.97

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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.