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Finding the Fourth Proportional to 431.66, 647.28 and 143

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Solution

The fourth proportional to 431.66, 647.28 and 143 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.66 : 647.28 = 143 : x
  2. Step 2: Convert to fraction form
    431.66/647.28 = 143/x
  3. Step 3: Cross multiply
    431.66x = 647.28 × 143
  4. Step 4: Simplify right side
    431.66x = 92,561.04
  5. Step 5: Solve for x
    x = 92,561.04/431.66
  6. Step 6: Final answer
    x = 214.43

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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.