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Finding the Fourth Proportional to 438.45, 602.54 and 355.38

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Solution

The fourth proportional to 438.45, 602.54 and 355.38 is: 488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.45 : 602.54 = 355.38 : x
  2. Step 2: Convert to fraction form
    438.45/602.54 = 355.38/x
  3. Step 3: Cross multiply
    438.45x = 602.54 × 355.38
  4. Step 4: Simplify right side
    438.45x = 214,128.89
  5. Step 5: Solve for x
    x = 214,128.89/438.45
  6. Step 6: Final answer
    x = 488.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.