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Finding the Fourth Proportional to 93.74, 139.50 and 90.50

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Solution

The fourth proportional to 93.74, 139.50 and 90.50 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.74 : 139.50 = 90.50 : x
  2. Step 2: Convert to fraction form
    93.74/139.50 = 90.50/x
  3. Step 3: Cross multiply
    93.74x = 139.50 × 90.50
  4. Step 4: Simplify right side
    93.74x = 12,624.05
  5. Step 5: Solve for x
    x = 12,624.05/93.74
  6. Step 6: Final answer
    x = 134.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.