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Finding the Fourth Proportional to 117.45, 162.09 and 65.00

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Solution

The fourth proportional to 117.45, 162.09 and 65.00 is: 89.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 162.09 = 65.00 : x
  2. Step 2: Convert to fraction form
    117.45/162.09 = 65.00/x
  3. Step 3: Cross multiply
    117.45x = 162.09 × 65.00
  4. Step 4: Simplify right side
    117.45x = 10,535.04
  5. Step 5: Solve for x
    x = 10,535.04/117.45
  6. Step 6: Final answer
    x = 89.70

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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.