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Finding the Fourth Proportional to 423.65, 584.21 and 313.36

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Solution

The fourth proportional to 423.65, 584.21 and 313.36 is: 432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 584.21 = 313.36 : x
  2. Step 2: Convert to fraction form
    423.65/584.21 = 313.36/x
  3. Step 3: Cross multiply
    423.65x = 584.21 × 313.36
  4. Step 4: Simplify right side
    423.65x = 183,067.37
  5. Step 5: Solve for x
    x = 183,067.37/423.65
  6. Step 6: Final answer
    x = 432.12

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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.