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Finding the Fourth Proportional to 117.41, 162.02 and 64.95

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Solution

The fourth proportional to 117.41, 162.02 and 64.95 is: 89.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 162.02 = 64.95 : x
  2. Step 2: Convert to fraction form
    117.41/162.02 = 64.95/x
  3. Step 3: Cross multiply
    117.41x = 162.02 × 64.95
  4. Step 4: Simplify right side
    117.41x = 10,523.30
  5. Step 5: Solve for x
    x = 10,523.30/117.41
  6. Step 6: Final answer
    x = 89.63

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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.