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Finding the Fourth Proportional to 315.42, 434.96 and 217.22

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Solution

The fourth proportional to 315.42, 434.96 and 217.22 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.42 : 434.96 = 217.22 : x
  2. Step 2: Convert to fraction form
    315.42/434.96 = 217.22/x
  3. Step 3: Cross multiply
    315.42x = 434.96 × 217.22
  4. Step 4: Simplify right side
    315.42x = 94,482.01
  5. Step 5: Solve for x
    x = 94,482.01/315.42
  6. Step 6: Final answer
    x = 299.54

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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.