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Finding the Fourth Proportional to 178.04, 265.79 and 170.16

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Solution

The fourth proportional to 178.04, 265.79 and 170.16 is: 254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.04 : 265.79 = 170.16 : x
  2. Step 2: Convert to fraction form
    178.04/265.79 = 170.16/x
  3. Step 3: Cross multiply
    178.04x = 265.79 × 170.16
  4. Step 4: Simplify right side
    178.04x = 45,225.98
  5. Step 5: Solve for x
    x = 45,225.98/178.04
  6. Step 6: Final answer
    x = 254.02

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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.