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Finding the Fourth Proportional to 282.06, 420.24 and 265.50

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Solution

The fourth proportional to 282.06, 420.24 and 265.50 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 420.24 = 265.50 : x
  2. Step 2: Convert to fraction form
    282.06/420.24 = 265.50/x
  3. Step 3: Cross multiply
    282.06x = 420.24 × 265.50
  4. Step 4: Simplify right side
    282.06x = 111,573.72
  5. Step 5: Solve for x
    x = 111,573.72/282.06
  6. Step 6: Final answer
    x = 395.57

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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.