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Finding the Fourth Proportional to 282.24, 420.57 and 266.04

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Solution

The fourth proportional to 282.24, 420.57 and 266.04 is: 396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.24 : 420.57 = 266.04 : x
  2. Step 2: Convert to fraction form
    282.24/420.57 = 266.04/x
  3. Step 3: Cross multiply
    282.24x = 420.57 × 266.04
  4. Step 4: Simplify right side
    282.24x = 111,888.44
  5. Step 5: Solve for x
    x = 111,888.44/282.24
  6. Step 6: Final answer
    x = 396.43

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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.