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Finding the Fourth Proportional to 144, 216.88 and 108.16

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Solution

The fourth proportional to 144, 216.88 and 108.16 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144 : 216.88 = 108.16 : x
  2. Step 2: Convert to fraction form
    144/216.88 = 108.16/x
  3. Step 3: Cross multiply
    144x = 216.88 × 108.16
  4. Step 4: Simplify right side
    144x = 23,457.74
  5. Step 5: Solve for x
    x = 23,457.74/144
  6. Step 6: Final answer
    x = 162.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.