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Finding the Fourth Proportional to 282.51, 425.60 and 221.91

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Solution

The fourth proportional to 282.51, 425.60 and 221.91 is: 334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 425.60 = 221.91 : x
  2. Step 2: Convert to fraction form
    282.51/425.60 = 221.91/x
  3. Step 3: Cross multiply
    282.51x = 425.60 × 221.91
  4. Step 4: Simplify right side
    282.51x = 94,444.90
  5. Step 5: Solve for x
    x = 94,444.90/282.51
  6. Step 6: Final answer
    x = 334.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.