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Finding the Fourth Proportional to 178.06, 245.72 and 100.45

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Solution

The fourth proportional to 178.06, 245.72 and 100.45 is: 138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.06 : 245.72 = 100.45 : x
  2. Step 2: Convert to fraction form
    178.06/245.72 = 100.45/x
  3. Step 3: Cross multiply
    178.06x = 245.72 × 100.45
  4. Step 4: Simplify right side
    178.06x = 24,681.60
  5. Step 5: Solve for x
    x = 24,681.60/178.06
  6. Step 6: Final answer
    x = 138.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.