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Finding the Fourth Proportional to 178.56, 266.40 and 154.26

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Solution

The fourth proportional to 178.56, 266.40 and 154.26 is: 230.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.56 : 266.40 = 154.26 : x
  2. Step 2: Convert to fraction form
    178.56/266.40 = 154.26/x
  3. Step 3: Cross multiply
    178.56x = 266.40 × 154.26
  4. Step 4: Simplify right side
    178.56x = 41,094.86
  5. Step 5: Solve for x
    x = 41,094.86/178.56
  6. Step 6: Final answer
    x = 230.15

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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.