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Finding the Fourth Proportional to 431.45, 647.18 and 187.80

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Solution

The fourth proportional to 431.45, 647.18 and 187.80 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.45 : 647.18 = 187.80 : x
  2. Step 2: Convert to fraction form
    431.45/647.18 = 187.80/x
  3. Step 3: Cross multiply
    431.45x = 647.18 × 187.80
  4. Step 4: Simplify right side
    431.45x = 121,540.40
  5. Step 5: Solve for x
    x = 121,540.40/431.45
  6. Step 6: Final answer
    x = 281.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.