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Finding the Fourth Proportional to 172.81, 260.38 and 143.04

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Solution

The fourth proportional to 172.81, 260.38 and 143.04 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 260.38 = 143.04 : x
  2. Step 2: Convert to fraction form
    172.81/260.38 = 143.04/x
  3. Step 3: Cross multiply
    172.81x = 260.38 × 143.04
  4. Step 4: Simplify right side
    172.81x = 37,242.74
  5. Step 5: Solve for x
    x = 37,242.74/172.81
  6. Step 6: Final answer
    x = 215.52

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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.