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Finding the Fourth Proportional to 157.70, 236.10 and 139.70

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Solution

The fourth proportional to 157.70, 236.10 and 139.70 is: 209.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.70 : 236.10 = 139.70 : x
  2. Step 2: Convert to fraction form
    157.70/236.10 = 139.70/x
  3. Step 3: Cross multiply
    157.70x = 236.10 × 139.70
  4. Step 4: Simplify right side
    157.70x = 32,983.17
  5. Step 5: Solve for x
    x = 32,983.17/157.70
  6. Step 6: Final answer
    x = 209.15

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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.