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Finding the Fourth Proportional to 281.04, 386.16 and 229.20

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Solution

The fourth proportional to 281.04, 386.16 and 229.20 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.04 : 386.16 = 229.20 : x
  2. Step 2: Convert to fraction form
    281.04/386.16 = 229.20/x
  3. Step 3: Cross multiply
    281.04x = 386.16 × 229.20
  4. Step 4: Simplify right side
    281.04x = 88,507.87
  5. Step 5: Solve for x
    x = 88,507.87/281.04
  6. Step 6: Final answer
    x = 314.93

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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.