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Finding the Fourth Proportional to 90.94, 135.45 and 90.49

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Solution

The fourth proportional to 90.94, 135.45 and 90.49 is: 134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.94 : 135.45 = 90.49 : x
  2. Step 2: Convert to fraction form
    90.94/135.45 = 90.49/x
  3. Step 3: Cross multiply
    90.94x = 135.45 × 90.49
  4. Step 4: Simplify right side
    90.94x = 12,255.74
  5. Step 5: Solve for x
    x = 12,255.74/90.94
  6. Step 6: Final answer
    x = 134.77

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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.