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Finding the Fourth Proportional to 438.30, 654.84 and 300.18

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Solution

The fourth proportional to 438.30, 654.84 and 300.18 is: 448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.30 : 654.84 = 300.18 : x
  2. Step 2: Convert to fraction form
    438.30/654.84 = 300.18/x
  3. Step 3: Cross multiply
    438.30x = 654.84 × 300.18
  4. Step 4: Simplify right side
    438.30x = 196,569.87
  5. Step 5: Solve for x
    x = 196,569.87/438.30
  6. Step 6: Final answer
    x = 448.48

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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.