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Finding the Fourth Proportional to 176.57, 266.21 and 164.82

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Solution

The fourth proportional to 176.57, 266.21 and 164.82 is: 248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.57 : 266.21 = 164.82 : x
  2. Step 2: Convert to fraction form
    176.57/266.21 = 164.82/x
  3. Step 3: Cross multiply
    176.57x = 266.21 × 164.82
  4. Step 4: Simplify right side
    176.57x = 43,875.91
  5. Step 5: Solve for x
    x = 43,875.91/176.57
  6. Step 6: Final answer
    x = 248.50

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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.