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Finding the Fourth Proportional to 89.51, 134.33 and 35.40

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Solution

The fourth proportional to 89.51, 134.33 and 35.40 is: 53.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.51 : 134.33 = 35.40 : x
  2. Step 2: Convert to fraction form
    89.51/134.33 = 35.40/x
  3. Step 3: Cross multiply
    89.51x = 134.33 × 35.40
  4. Step 4: Simplify right side
    89.51x = 4,755.28
  5. Step 5: Solve for x
    x = 4,755.28/89.51
  6. Step 6: Final answer
    x = 53.13

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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.