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Finding the Fourth Proportional to 264.31, 397.34 and 187.82

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Solution

The fourth proportional to 264.31, 397.34 and 187.82 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.31 : 397.34 = 187.82 : x
  2. Step 2: Convert to fraction form
    264.31/397.34 = 187.82/x
  3. Step 3: Cross multiply
    264.31x = 397.34 × 187.82
  4. Step 4: Simplify right side
    264.31x = 74,628.45
  5. Step 5: Solve for x
    x = 74,628.45/264.31
  6. Step 6: Final answer
    x = 282.35

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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.