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Finding the Fourth Proportional to 285.14, 393.65 and 180.24

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Solution

The fourth proportional to 285.14, 393.65 and 180.24 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.14 : 393.65 = 180.24 : x
  2. Step 2: Convert to fraction form
    285.14/393.65 = 180.24/x
  3. Step 3: Cross multiply
    285.14x = 393.65 × 180.24
  4. Step 4: Simplify right side
    285.14x = 70,950.57
  5. Step 5: Solve for x
    x = 70,950.57/285.14
  6. Step 6: Final answer
    x = 248.83

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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.