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Finding the Fourth Proportional to 430.99, 646.38 and 142.43

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Solution

The fourth proportional to 430.99, 646.38 and 142.43 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.99 : 646.38 = 142.43 : x
  2. Step 2: Convert to fraction form
    430.99/646.38 = 142.43/x
  3. Step 3: Cross multiply
    430.99x = 646.38 × 142.43
  4. Step 4: Simplify right side
    430.99x = 92,060.67
  5. Step 5: Solve for x
    x = 92,060.67/430.99
  6. Step 6: Final answer
    x = 213.60

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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.