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Finding the Fourth Proportional to 178.53, 266.51 and 155.46

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Solution

The fourth proportional to 178.53, 266.51 and 155.46 is: 232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.53 : 266.51 = 155.46 : x
  2. Step 2: Convert to fraction form
    178.53/266.51 = 155.46/x
  3. Step 3: Cross multiply
    178.53x = 266.51 × 155.46
  4. Step 4: Simplify right side
    178.53x = 41,431.64
  5. Step 5: Solve for x
    x = 41,431.64/178.53
  6. Step 6: Final answer
    x = 232.07

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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.