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Finding the Fourth Proportional to 178.23, 265.56 and 170.37

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Solution

The fourth proportional to 178.23, 265.56 and 170.37 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 265.56 = 170.37 : x
  2. Step 2: Convert to fraction form
    178.23/265.56 = 170.37/x
  3. Step 3: Cross multiply
    178.23x = 265.56 × 170.37
  4. Step 4: Simplify right side
    178.23x = 45,242.13
  5. Step 5: Solve for x
    x = 45,242.13/178.23
  6. Step 6: Final answer
    x = 253.84

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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.