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Finding the Fourth Proportional to 252.51, 376.66 and 223.35

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Solution

The fourth proportional to 252.51, 376.66 and 223.35 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.51 : 376.66 = 223.35 : x
  2. Step 2: Convert to fraction form
    252.51/376.66 = 223.35/x
  3. Step 3: Cross multiply
    252.51x = 376.66 × 223.35
  4. Step 4: Simplify right side
    252.51x = 84,127.01
  5. Step 5: Solve for x
    x = 84,127.01/252.51
  6. Step 6: Final answer
    x = 333.16

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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.