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Finding the Fourth Proportional to 291.65, 436.78 and 230.37

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Solution

The fourth proportional to 291.65, 436.78 and 230.37 is: 345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.65 : 436.78 = 230.37 : x
  2. Step 2: Convert to fraction form
    291.65/436.78 = 230.37/x
  3. Step 3: Cross multiply
    291.65x = 436.78 × 230.37
  4. Step 4: Simplify right side
    291.65x = 100,621.01
  5. Step 5: Solve for x
    x = 100,621.01/291.65
  6. Step 6: Final answer
    x = 345.01

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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.