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Finding the Fourth Proportional to 431.63, 647.35 and 143

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Solution

The fourth proportional to 431.63, 647.35 and 143 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.63 : 647.35 = 143 : x
  2. Step 2: Convert to fraction form
    431.63/647.35 = 143/x
  3. Step 3: Cross multiply
    431.63x = 647.35 × 143
  4. Step 4: Simplify right side
    431.63x = 92,571.05
  5. Step 5: Solve for x
    x = 92,571.05/431.63
  6. Step 6: Final answer
    x = 214.47

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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.