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Finding the Fourth Proportional to 178.96, 245.86 and 172.18

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Solution

The fourth proportional to 178.96, 245.86 and 172.18 is: 236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.96 : 245.86 = 172.18 : x
  2. Step 2: Convert to fraction form
    178.96/245.86 = 172.18/x
  3. Step 3: Cross multiply
    178.96x = 245.86 × 172.18
  4. Step 4: Simplify right side
    178.96x = 42,332.17
  5. Step 5: Solve for x
    x = 42,332.17/178.96
  6. Step 6: Final answer
    x = 236.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.