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Finding the Fourth Proportional to 285.32, 425.14 and 277.37

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Solution

The fourth proportional to 285.32, 425.14 and 277.37 is: 413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 425.14 = 277.37 : x
  2. Step 2: Convert to fraction form
    285.32/425.14 = 277.37/x
  3. Step 3: Cross multiply
    285.32x = 425.14 × 277.37
  4. Step 4: Simplify right side
    285.32x = 117,920.90
  5. Step 5: Solve for x
    x = 117,920.90/285.32
  6. Step 6: Final answer
    x = 413.30

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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.