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Finding the Fourth Proportional to 285.19, 393.64 and 180.21

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Solution

The fourth proportional to 285.19, 393.64 and 180.21 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.19 : 393.64 = 180.21 : x
  2. Step 2: Convert to fraction form
    285.19/393.64 = 180.21/x
  3. Step 3: Cross multiply
    285.19x = 393.64 × 180.21
  4. Step 4: Simplify right side
    285.19x = 70,938.89
  5. Step 5: Solve for x
    x = 70,938.89/285.19
  6. Step 6: Final answer
    x = 248.74

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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.