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Finding the Fourth Proportional to 438.47, 604.53 and 320.62

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Solution

The fourth proportional to 438.47, 604.53 and 320.62 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.47 : 604.53 = 320.62 : x
  2. Step 2: Convert to fraction form
    438.47/604.53 = 320.62/x
  3. Step 3: Cross multiply
    438.47x = 604.53 × 320.62
  4. Step 4: Simplify right side
    438.47x = 193,824.41
  5. Step 5: Solve for x
    x = 193,824.41/438.47
  6. Step 6: Final answer
    x = 442.05

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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.