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Finding the Fourth Proportional to 178.02, 266.64 and 149.06

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Solution

The fourth proportional to 178.02, 266.64 and 149.06 is: 223.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 266.64 = 149.06 : x
  2. Step 2: Convert to fraction form
    178.02/266.64 = 149.06/x
  3. Step 3: Cross multiply
    178.02x = 266.64 × 149.06
  4. Step 4: Simplify right side
    178.02x = 39,745.36
  5. Step 5: Solve for x
    x = 39,745.36/178.02
  6. Step 6: Final answer
    x = 223.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.