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Finding the Fourth Proportional to 265.76, 398.82 and 157.58

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Solution

The fourth proportional to 265.76, 398.82 and 157.58 is: 236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.76 : 398.82 = 157.58 : x
  2. Step 2: Convert to fraction form
    265.76/398.82 = 157.58/x
  3. Step 3: Cross multiply
    265.76x = 398.82 × 157.58
  4. Step 4: Simplify right side
    265.76x = 62,846.06
  5. Step 5: Solve for x
    x = 62,846.06/265.76
  6. Step 6: Final answer
    x = 236.48

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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.