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Finding the Fourth Proportional to 230.68, 317.46 and 214.84

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Solution

The fourth proportional to 230.68, 317.46 and 214.84 is: 295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.68 : 317.46 = 214.84 : x
  2. Step 2: Convert to fraction form
    230.68/317.46 = 214.84/x
  3. Step 3: Cross multiply
    230.68x = 317.46 × 214.84
  4. Step 4: Simplify right side
    230.68x = 68,203.11
  5. Step 5: Solve for x
    x = 68,203.11/230.68
  6. Step 6: Final answer
    x = 295.66

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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.