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Finding the Fourth Proportional to 103.50, 142.88 and 90.41

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Solution

The fourth proportional to 103.50, 142.88 and 90.41 is: 124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 142.88 = 90.41 : x
  2. Step 2: Convert to fraction form
    103.50/142.88 = 90.41/x
  3. Step 3: Cross multiply
    103.50x = 142.88 × 90.41
  4. Step 4: Simplify right side
    103.50x = 12,916.61
  5. Step 5: Solve for x
    x = 12,916.61/103.50
  6. Step 6: Final answer
    x = 124.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.