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Finding the Fourth Proportional to 214.65, 320.56 and 170.45

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Solution

The fourth proportional to 214.65, 320.56 and 170.45 is: 254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 320.56 = 170.45 : x
  2. Step 2: Convert to fraction form
    214.65/320.56 = 170.45/x
  3. Step 3: Cross multiply
    214.65x = 320.56 × 170.45
  4. Step 4: Simplify right side
    214.65x = 54,640.43
  5. Step 5: Solve for x
    x = 54,640.43/214.65
  6. Step 6: Final answer
    x = 254.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.