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Finding the Fourth Proportional to 157.51, 217.34 and 105.13

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Solution

The fourth proportional to 157.51, 217.34 and 105.13 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.51 : 217.34 = 105.13 : x
  2. Step 2: Convert to fraction form
    157.51/217.34 = 105.13/x
  3. Step 3: Cross multiply
    157.51x = 217.34 × 105.13
  4. Step 4: Simplify right side
    157.51x = 22,848.43
  5. Step 5: Solve for x
    x = 22,848.43/157.51
  6. Step 6: Final answer
    x = 145.06

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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.