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Finding the Fourth Proportional to 264.96, 397.00 and 102.56

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Solution

The fourth proportional to 264.96, 397.00 and 102.56 is: 153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.96 : 397.00 = 102.56 : x
  2. Step 2: Convert to fraction form
    264.96/397.00 = 102.56/x
  3. Step 3: Cross multiply
    264.96x = 397.00 × 102.56
  4. Step 4: Simplify right side
    264.96x = 40,714.46
  5. Step 5: Solve for x
    x = 40,714.46/264.96
  6. Step 6: Final answer
    x = 153.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.