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Finding the Fourth Proportional to 216.19, 298.34 and 127.64

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Solution

The fourth proportional to 216.19, 298.34 and 127.64 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 298.34 = 127.64 : x
  2. Step 2: Convert to fraction form
    216.19/298.34 = 127.64/x
  3. Step 3: Cross multiply
    216.19x = 298.34 × 127.64
  4. Step 4: Simplify right side
    216.19x = 38,080.12
  5. Step 5: Solve for x
    x = 38,080.12/216.19
  6. Step 6: Final answer
    x = 176.14

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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.