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Finding the Fourth Proportional to 423.65, 584.88 and 284.00

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Solution

The fourth proportional to 423.65, 584.88 and 284.00 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.65 : 584.88 = 284.00 : x
  2. Step 2: Convert to fraction form
    423.65/584.88 = 284.00/x
  3. Step 3: Cross multiply
    423.65x = 584.88 × 284.00
  4. Step 4: Simplify right side
    423.65x = 166,107.38
  5. Step 5: Solve for x
    x = 166,107.38/423.65
  6. Step 6: Final answer
    x = 392.08

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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.