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Finding the Fourth Proportional to 438.56, 654.74 and 361.68

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Solution

The fourth proportional to 438.56, 654.74 and 361.68 is: 539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.56 : 654.74 = 361.68 : x
  2. Step 2: Convert to fraction form
    438.56/654.74 = 361.68/x
  3. Step 3: Cross multiply
    438.56x = 654.74 × 361.68
  4. Step 4: Simplify right side
    438.56x = 236,803.46
  5. Step 5: Solve for x
    x = 236,803.46/438.56
  6. Step 6: Final answer
    x = 539.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.