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Finding the Fourth Proportional to 287.46, 427.49 and 278.34

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Solution

The fourth proportional to 287.46, 427.49 and 278.34 is: 413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.46 : 427.49 = 278.34 : x
  2. Step 2: Convert to fraction form
    287.46/427.49 = 278.34/x
  3. Step 3: Cross multiply
    287.46x = 427.49 × 278.34
  4. Step 4: Simplify right side
    287.46x = 118,986.17
  5. Step 5: Solve for x
    x = 118,986.17/287.46
  6. Step 6: Final answer
    x = 413.92

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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.