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Finding the Fourth Proportional to 157.64, 216.66 and 139.10

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Solution

The fourth proportional to 157.64, 216.66 and 139.10 is: 191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 216.66 = 139.10 : x
  2. Step 2: Convert to fraction form
    157.64/216.66 = 139.10/x
  3. Step 3: Cross multiply
    157.64x = 216.66 × 139.10
  4. Step 4: Simplify right side
    157.64x = 30,137.95
  5. Step 5: Solve for x
    x = 30,137.95/157.64
  6. Step 6: Final answer
    x = 191.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.