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Finding the Fourth Proportional to 298.60, 412.15 and 180.57

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Solution

The fourth proportional to 298.60, 412.15 and 180.57 is: 249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.60 : 412.15 = 180.57 : x
  2. Step 2: Convert to fraction form
    298.60/412.15 = 180.57/x
  3. Step 3: Cross multiply
    298.60x = 412.15 × 180.57
  4. Step 4: Simplify right side
    298.60x = 74,421.78
  5. Step 5: Solve for x
    x = 74,421.78/298.60
  6. Step 6: Final answer
    x = 249.24

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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.