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Finding the Fourth Proportional to 430.70, 646.18 and 214.46

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Solution

The fourth proportional to 430.70, 646.18 and 214.46 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.70 : 646.18 = 214.46 : x
  2. Step 2: Convert to fraction form
    430.70/646.18 = 214.46/x
  3. Step 3: Cross multiply
    430.70x = 646.18 × 214.46
  4. Step 4: Simplify right side
    430.70x = 138,579.76
  5. Step 5: Solve for x
    x = 138,579.76/430.70
  6. Step 6: Final answer
    x = 321.75

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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.