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Finding the Fourth Proportional to 282.45, 420.74 and 278.81

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Solution

The fourth proportional to 282.45, 420.74 and 278.81 is: 415.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 420.74 = 278.81 : x
  2. Step 2: Convert to fraction form
    282.45/420.74 = 278.81/x
  3. Step 3: Cross multiply
    282.45x = 420.74 × 278.81
  4. Step 4: Simplify right side
    282.45x = 117,304.86
  5. Step 5: Solve for x
    x = 117,304.86/282.45
  6. Step 6: Final answer
    x = 415.31

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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.