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Finding the Fourth Proportional to 176.60, 263.98 and 172.28

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Solution

The fourth proportional to 176.60, 263.98 and 172.28 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 263.98 = 172.28 : x
  2. Step 2: Convert to fraction form
    176.60/263.98 = 172.28/x
  3. Step 3: Cross multiply
    176.60x = 263.98 × 172.28
  4. Step 4: Simplify right side
    176.60x = 45,478.47
  5. Step 5: Solve for x
    x = 45,478.47/176.60
  6. Step 6: Final answer
    x = 257.52

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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.