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Finding the Fourth Proportional to 135.51, 202.80 and 89.84

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Solution

The fourth proportional to 135.51, 202.80 and 89.84 is: 134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.51 : 202.80 = 89.84 : x
  2. Step 2: Convert to fraction form
    135.51/202.80 = 89.84/x
  3. Step 3: Cross multiply
    135.51x = 202.80 × 89.84
  4. Step 4: Simplify right side
    135.51x = 18,220.40
  5. Step 5: Solve for x
    x = 18,220.40/135.51
  6. Step 6: Final answer
    x = 134.46

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Why These Related Problems?

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