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Finding the Fourth Proportional to 157.80, 237.90 and 142.14

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Solution

The fourth proportional to 157.80, 237.90 and 142.14 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 237.90 = 142.14 : x
  2. Step 2: Convert to fraction form
    157.80/237.90 = 142.14/x
  3. Step 3: Cross multiply
    157.80x = 237.90 × 142.14
  4. Step 4: Simplify right side
    157.80x = 33,815.11
  5. Step 5: Solve for x
    x = 33,815.11/157.80
  6. Step 6: Final answer
    x = 214.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.