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Finding the Fourth Proportional to 281.54, 424.40 and 233.75

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Solution

The fourth proportional to 281.54, 424.40 and 233.75 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.54 : 424.40 = 233.75 : x
  2. Step 2: Convert to fraction form
    281.54/424.40 = 233.75/x
  3. Step 3: Cross multiply
    281.54x = 424.40 × 233.75
  4. Step 4: Simplify right side
    281.54x = 99,203.50
  5. Step 5: Solve for x
    x = 99,203.50/281.54
  6. Step 6: Final answer
    x = 352.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.