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Finding the Fourth Proportional to 117.41, 162.25 and 93.04

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Solution

The fourth proportional to 117.41, 162.25 and 93.04 is: 128.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 162.25 = 93.04 : x
  2. Step 2: Convert to fraction form
    117.41/162.25 = 93.04/x
  3. Step 3: Cross multiply
    117.41x = 162.25 × 93.04
  4. Step 4: Simplify right side
    117.41x = 15,095.10
  5. Step 5: Solve for x
    x = 15,095.10/117.41
  6. Step 6: Final answer
    x = 128.57

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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.