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Finding the Fourth Proportional to 438.06, 604.28 and 263.28

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Solution

The fourth proportional to 438.06, 604.28 and 263.28 is: 363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.06 : 604.28 = 263.28 : x
  2. Step 2: Convert to fraction form
    438.06/604.28 = 263.28/x
  3. Step 3: Cross multiply
    438.06x = 604.28 × 263.28
  4. Step 4: Simplify right side
    438.06x = 159,094.84
  5. Step 5: Solve for x
    x = 159,094.84/438.06
  6. Step 6: Final answer
    x = 363.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.