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Finding the Fourth Proportional to 89.36, 123.40 and 64.84

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Solution

The fourth proportional to 89.36, 123.40 and 64.84 is: 89.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.36 : 123.40 = 64.84 : x
  2. Step 2: Convert to fraction form
    89.36/123.40 = 64.84/x
  3. Step 3: Cross multiply
    89.36x = 123.40 × 64.84
  4. Step 4: Simplify right side
    89.36x = 8,001.26
  5. Step 5: Solve for x
    x = 8,001.26/89.36
  6. Step 6: Final answer
    x = 89.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.