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Finding the Fourth Proportional to 423.70, 584.51 and 299.30

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Solution

The fourth proportional to 423.70, 584.51 and 299.30 is: 412.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.70 : 584.51 = 299.30 : x
  2. Step 2: Convert to fraction form
    423.70/584.51 = 299.30/x
  3. Step 3: Cross multiply
    423.70x = 584.51 × 299.30
  4. Step 4: Simplify right side
    423.70x = 174,939.42
  5. Step 5: Solve for x
    x = 174,939.42/423.70
  6. Step 6: Final answer
    x = 412.89

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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.