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Finding the Fourth Proportional to 281.47, 386.24 and 256.72

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Solution

The fourth proportional to 281.47, 386.24 and 256.72 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.47 : 386.24 = 256.72 : x
  2. Step 2: Convert to fraction form
    281.47/386.24 = 256.72/x
  3. Step 3: Cross multiply
    281.47x = 386.24 × 256.72
  4. Step 4: Simplify right side
    281.47x = 99,155.53
  5. Step 5: Solve for x
    x = 99,155.53/281.47
  6. Step 6: Final answer
    x = 352.28

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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.