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Finding the Fourth Proportional to 117.28, 161.85 and 65.53

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Solution

The fourth proportional to 117.28, 161.85 and 65.53 is: 90.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 161.85 = 65.53 : x
  2. Step 2: Convert to fraction form
    117.28/161.85 = 65.53/x
  3. Step 3: Cross multiply
    117.28x = 161.85 × 65.53
  4. Step 4: Simplify right side
    117.28x = 10,606.11
  5. Step 5: Solve for x
    x = 10,606.11/117.28
  6. Step 6: Final answer
    x = 90.43

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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.