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Finding the Fourth Proportional to 157.31, 216.98 and 105.47

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Solution

The fourth proportional to 157.31, 216.98 and 105.47 is: 145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.31 : 216.98 = 105.47 : x
  2. Step 2: Convert to fraction form
    157.31/216.98 = 105.47/x
  3. Step 3: Cross multiply
    157.31x = 216.98 × 105.47
  4. Step 4: Simplify right side
    157.31x = 22,884.35
  5. Step 5: Solve for x
    x = 22,884.35/157.31
  6. Step 6: Final answer
    x = 145.47

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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.