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Finding the Fourth Proportional to 431.70, 647.40 and 143.06

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Solution

The fourth proportional to 431.70, 647.40 and 143.06 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.70 : 647.40 = 143.06 : x
  2. Step 2: Convert to fraction form
    431.70/647.40 = 143.06/x
  3. Step 3: Cross multiply
    431.70x = 647.40 × 143.06
  4. Step 4: Simplify right side
    431.70x = 92,617.04
  5. Step 5: Solve for x
    x = 92,617.04/431.70
  6. Step 6: Final answer
    x = 214.54

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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.