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Finding the Fourth Proportional to 424.12, 584.72 and 284.26

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Solution

The fourth proportional to 424.12, 584.72 and 284.26 is: 391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 584.72 = 284.26 : x
  2. Step 2: Convert to fraction form
    424.12/584.72 = 284.26/x
  3. Step 3: Cross multiply
    424.12x = 584.72 × 284.26
  4. Step 4: Simplify right side
    424.12x = 166,212.51
  5. Step 5: Solve for x
    x = 166,212.51/424.12
  6. Step 6: Final answer
    x = 391.90

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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.