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Finding the Fourth Proportional to 230.87, 346.07 and 128.19

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Solution

The fourth proportional to 230.87, 346.07 and 128.19 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.87 : 346.07 = 128.19 : x
  2. Step 2: Convert to fraction form
    230.87/346.07 = 128.19/x
  3. Step 3: Cross multiply
    230.87x = 346.07 × 128.19
  4. Step 4: Simplify right side
    230.87x = 44,362.07
  5. Step 5: Solve for x
    x = 44,362.07/230.87
  6. Step 6: Final answer
    x = 192.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.