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Finding the Fourth Proportional to 116.08, 160.44 and 90.32

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Solution

The fourth proportional to 116.08, 160.44 and 90.32 is: 124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.08 : 160.44 = 90.32 : x
  2. Step 2: Convert to fraction form
    116.08/160.44 = 90.32/x
  3. Step 3: Cross multiply
    116.08x = 160.44 × 90.32
  4. Step 4: Simplify right side
    116.08x = 14,490.94
  5. Step 5: Solve for x
    x = 14,490.94/116.08
  6. Step 6: Final answer
    x = 124.84

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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.