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Finding the Fourth Proportional to 285.68, 425.50 and 284.30

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Solution

The fourth proportional to 285.68, 425.50 and 284.30 is: 423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 425.50 = 284.30 : x
  2. Step 2: Convert to fraction form
    285.68/425.50 = 284.30/x
  3. Step 3: Cross multiply
    285.68x = 425.50 × 284.30
  4. Step 4: Simplify right side
    285.68x = 120,969.65
  5. Step 5: Solve for x
    x = 120,969.65/285.68
  6. Step 6: Final answer
    x = 423.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.