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Finding the Fourth Proportional to 172.34, 258.53 and 76.16

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Solution

The fourth proportional to 172.34, 258.53 and 76.16 is: 114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.34 : 258.53 = 76.16 : x
  2. Step 2: Convert to fraction form
    172.34/258.53 = 76.16/x
  3. Step 3: Cross multiply
    172.34x = 258.53 × 76.16
  4. Step 4: Simplify right side
    172.34x = 19,689.64
  5. Step 5: Solve for x
    x = 19,689.64/172.34
  6. Step 6: Final answer
    x = 114.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.