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Finding the Fourth Proportional to 285.15, 393.65 and 180.26

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Solution

The fourth proportional to 285.15, 393.65 and 180.26 is: 248.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.15 : 393.65 = 180.26 : x
  2. Step 2: Convert to fraction form
    285.15/393.65 = 180.26/x
  3. Step 3: Cross multiply
    285.15x = 393.65 × 180.26
  4. Step 4: Simplify right side
    285.15x = 70,958.63
  5. Step 5: Solve for x
    x = 70,958.63/285.15
  6. Step 6: Final answer
    x = 248.84

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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.