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Finding the Fourth Proportional to 438.48, 656.37 and 369.54

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Solution

The fourth proportional to 438.48, 656.37 and 369.54 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.48 : 656.37 = 369.54 : x
  2. Step 2: Convert to fraction form
    438.48/656.37 = 369.54/x
  3. Step 3: Cross multiply
    438.48x = 656.37 × 369.54
  4. Step 4: Simplify right side
    438.48x = 242,554.97
  5. Step 5: Solve for x
    x = 242,554.97/438.48
  6. Step 6: Final answer
    x = 553.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.