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Finding the Fourth Proportional to 604.40, 906.71 and 214.47

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Solution

The fourth proportional to 604.40, 906.71 and 214.47 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.40 : 906.71 = 214.47 : x
  2. Step 2: Convert to fraction form
    604.40/906.71 = 214.47/x
  3. Step 3: Cross multiply
    604.40x = 906.71 × 214.47
  4. Step 4: Simplify right side
    604.40x = 194,461.02
  5. Step 5: Solve for x
    x = 194,461.02/604.40
  6. Step 6: Final answer
    x = 321.74

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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.