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Finding the Fourth Proportional to 285.93, 425.79 and 285.12

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Solution

The fourth proportional to 285.93, 425.79 and 285.12 is: 424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.93 : 425.79 = 285.12 : x
  2. Step 2: Convert to fraction form
    285.93/425.79 = 285.12/x
  3. Step 3: Cross multiply
    285.93x = 425.79 × 285.12
  4. Step 4: Simplify right side
    285.93x = 121,401.24
  5. Step 5: Solve for x
    x = 121,401.24/285.93
  6. Step 6: Final answer
    x = 424.58

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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.