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Finding the Fourth Proportional to 172.88, 260.59 and 170.45

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Solution

The fourth proportional to 172.88, 260.59 and 170.45 is: 256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 260.59 = 170.45 : x
  2. Step 2: Convert to fraction form
    172.88/260.59 = 170.45/x
  3. Step 3: Cross multiply
    172.88x = 260.59 × 170.45
  4. Step 4: Simplify right side
    172.88x = 44,417.57
  5. Step 5: Solve for x
    x = 44,417.57/172.88
  6. Step 6: Final answer
    x = 256.93

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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.