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Finding the Fourth Proportional to 282.30, 420.60 and 280.32

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Solution

The fourth proportional to 282.30, 420.60 and 280.32 is: 417.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 420.60 = 280.32 : x
  2. Step 2: Convert to fraction form
    282.30/420.60 = 280.32/x
  3. Step 3: Cross multiply
    282.30x = 420.60 × 280.32
  4. Step 4: Simplify right side
    282.30x = 117,902.59
  5. Step 5: Solve for x
    x = 117,902.59/282.30
  6. Step 6: Final answer
    x = 417.65

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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.