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Finding the Fourth Proportional to 176.71, 263.54 and 172.57

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Solution

The fourth proportional to 176.71, 263.54 and 172.57 is: 257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.71 : 263.54 = 172.57 : x
  2. Step 2: Convert to fraction form
    176.71/263.54 = 172.57/x
  3. Step 3: Cross multiply
    176.71x = 263.54 × 172.57
  4. Step 4: Simplify right side
    176.71x = 45,479.10
  5. Step 5: Solve for x
    x = 45,479.10/176.71
  6. Step 6: Final answer
    x = 257.37

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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.