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Finding the Fourth Proportional to 178.84, 266.81 and 151.48

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Solution

The fourth proportional to 178.84, 266.81 and 151.48 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.84 : 266.81 = 151.48 : x
  2. Step 2: Convert to fraction form
    178.84/266.81 = 151.48/x
  3. Step 3: Cross multiply
    178.84x = 266.81 × 151.48
  4. Step 4: Simplify right side
    178.84x = 40,416.38
  5. Step 5: Solve for x
    x = 40,416.38/178.84
  6. Step 6: Final answer
    x = 225.99

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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.