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Finding the Fourth Proportional to 260.34, 358.11 and 253.86

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Solution

The fourth proportional to 260.34, 358.11 and 253.86 is: 349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.34 : 358.11 = 253.86 : x
  2. Step 2: Convert to fraction form
    260.34/358.11 = 253.86/x
  3. Step 3: Cross multiply
    260.34x = 358.11 × 253.86
  4. Step 4: Simplify right side
    260.34x = 90,909.80
  5. Step 5: Solve for x
    x = 90,909.80/260.34
  6. Step 6: Final answer
    x = 349.20

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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.