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Finding the Fourth Proportional to 178.48, 266.45 and 146.44

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Solution

The fourth proportional to 178.48, 266.45 and 146.44 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 266.45 = 146.44 : x
  2. Step 2: Convert to fraction form
    178.48/266.45 = 146.44/x
  3. Step 3: Cross multiply
    178.48x = 266.45 × 146.44
  4. Step 4: Simplify right side
    178.48x = 39,018.94
  5. Step 5: Solve for x
    x = 39,018.94/178.48
  6. Step 6: Final answer
    x = 218.62

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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.