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Finding the Fourth Proportional to 430.85, 646.28 and 142.29

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Solution

The fourth proportional to 430.85, 646.28 and 142.29 is: 213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.85 : 646.28 = 142.29 : x
  2. Step 2: Convert to fraction form
    430.85/646.28 = 142.29/x
  3. Step 3: Cross multiply
    430.85x = 646.28 × 142.29
  4. Step 4: Simplify right side
    430.85x = 91,958.47
  5. Step 5: Solve for x
    x = 91,958.47/430.85
  6. Step 6: Final answer
    x = 213.44

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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.