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Finding the Fourth Proportional to 285.99, 425.76 and 284.64

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Solution

The fourth proportional to 285.99, 425.76 and 284.64 is: 423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.99 : 425.76 = 284.64 : x
  2. Step 2: Convert to fraction form
    285.99/425.76 = 284.64/x
  3. Step 3: Cross multiply
    285.99x = 425.76 × 284.64
  4. Step 4: Simplify right side
    285.99x = 121,188.33
  5. Step 5: Solve for x
    x = 121,188.33/285.99
  6. Step 6: Final answer
    x = 423.75

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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.