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Finding the Fourth Proportional to 230.90, 345.08 and 217.58

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Solution

The fourth proportional to 230.90, 345.08 and 217.58 is: 325.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.90 : 345.08 = 217.58 : x
  2. Step 2: Convert to fraction form
    230.90/345.08 = 217.58/x
  3. Step 3: Cross multiply
    230.90x = 345.08 × 217.58
  4. Step 4: Simplify right side
    230.90x = 75,082.51
  5. Step 5: Solve for x
    x = 75,082.51/230.90
  6. Step 6: Final answer
    x = 325.17

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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.