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Finding the Fourth Proportional to 646.88, 970.34 and 214.02

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Solution

The fourth proportional to 646.88, 970.34 and 214.02 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 970.34 = 214.02 : x
  2. Step 2: Convert to fraction form
    646.88/970.34 = 214.02/x
  3. Step 3: Cross multiply
    646.88x = 970.34 × 214.02
  4. Step 4: Simplify right side
    646.88x = 207,671.10
  5. Step 5: Solve for x
    x = 207,671.10/646.88
  6. Step 6: Final answer
    x = 321.04

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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.