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Finding the Fourth Proportional to 178.93, 266.83 and 153.41

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Solution

The fourth proportional to 178.93, 266.83 and 153.41 is: 228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.93 : 266.83 = 153.41 : x
  2. Step 2: Convert to fraction form
    178.93/266.83 = 153.41/x
  3. Step 3: Cross multiply
    178.93x = 266.83 × 153.41
  4. Step 4: Simplify right side
    178.93x = 40,934.39
  5. Step 5: Solve for x
    x = 40,934.39/178.93
  6. Step 6: Final answer
    x = 228.77

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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.