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Finding the Fourth Proportional to 89.59, 135.03 and 84.63

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Solution

The fourth proportional to 89.59, 135.03 and 84.63 is: 127.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.59 : 135.03 = 84.63 : x
  2. Step 2: Convert to fraction form
    89.59/135.03 = 84.63/x
  3. Step 3: Cross multiply
    89.59x = 135.03 × 84.63
  4. Step 4: Simplify right side
    89.59x = 11,427.59
  5. Step 5: Solve for x
    x = 11,427.59/89.59
  6. Step 6: Final answer
    x = 127.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.