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Finding the Fourth Proportional to 281.60, 386.12 and 253.86

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Solution

The fourth proportional to 281.60, 386.12 and 253.86 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.60 : 386.12 = 253.86 : x
  2. Step 2: Convert to fraction form
    281.60/386.12 = 253.86/x
  3. Step 3: Cross multiply
    281.60x = 386.12 × 253.86
  4. Step 4: Simplify right side
    281.60x = 98,020.42
  5. Step 5: Solve for x
    x = 98,020.42/281.60
  6. Step 6: Final answer
    x = 348.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.