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Finding the Fourth Proportional to 181.98, 271.35 and 170.10

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Solution

The fourth proportional to 181.98, 271.35 and 170.10 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 271.35 = 170.10 : x
  2. Step 2: Convert to fraction form
    181.98/271.35 = 170.10/x
  3. Step 3: Cross multiply
    181.98x = 271.35 × 170.10
  4. Step 4: Simplify right side
    181.98x = 46,156.64
  5. Step 5: Solve for x
    x = 46,156.64/181.98
  6. Step 6: Final answer
    x = 253.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.