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Finding the Fourth Proportional to 285.86, 425.77 and 279.86

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Solution

The fourth proportional to 285.86, 425.77 and 279.86 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.86 : 425.77 = 279.86 : x
  2. Step 2: Convert to fraction form
    285.86/425.77 = 279.86/x
  3. Step 3: Cross multiply
    285.86x = 425.77 × 279.86
  4. Step 4: Simplify right side
    285.86x = 119,154.21
  5. Step 5: Solve for x
    x = 119,154.21/285.86
  6. Step 6: Final answer
    x = 416.83

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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.