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Finding the Fourth Proportional to 88.29, 122.01 and 65.00

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Solution

The fourth proportional to 88.29, 122.01 and 65.00 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.29 : 122.01 = 65.00 : x
  2. Step 2: Convert to fraction form
    88.29/122.01 = 65.00/x
  3. Step 3: Cross multiply
    88.29x = 122.01 × 65.00
  4. Step 4: Simplify right side
    88.29x = 7,930.71
  5. Step 5: Solve for x
    x = 7,930.71/88.29
  6. Step 6: Final answer
    x = 89.83

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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.