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Finding the Fourth Proportional to 438.54, 603.63 and 364.02

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Solution

The fourth proportional to 438.54, 603.63 and 364.02 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.54 : 603.63 = 364.02 : x
  2. Step 2: Convert to fraction form
    438.54/603.63 = 364.02/x
  3. Step 3: Cross multiply
    438.54x = 603.63 × 364.02
  4. Step 4: Simplify right side
    438.54x = 219,733.39
  5. Step 5: Solve for x
    x = 219,733.39/438.54
  6. Step 6: Final answer
    x = 501.06

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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.