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Finding the Fourth Proportional to 438.21, 654.35 and 392.04

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Solution

The fourth proportional to 438.21, 654.35 and 392.04 is: 585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.21 : 654.35 = 392.04 : x
  2. Step 2: Convert to fraction form
    438.21/654.35 = 392.04/x
  3. Step 3: Cross multiply
    438.21x = 654.35 × 392.04
  4. Step 4: Simplify right side
    438.21x = 256,529.41
  5. Step 5: Solve for x
    x = 256,529.41/438.21
  6. Step 6: Final answer
    x = 585.40

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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.