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Finding the Fourth Proportional to 157.98, 237.81 and 143.10

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Solution

The fourth proportional to 157.98, 237.81 and 143.10 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 237.81 = 143.10 : x
  2. Step 2: Convert to fraction form
    157.98/237.81 = 143.10/x
  3. Step 3: Cross multiply
    157.98x = 237.81 × 143.10
  4. Step 4: Simplify right side
    157.98x = 34,030.61
  5. Step 5: Solve for x
    x = 34,030.61/157.98
  6. Step 6: Final answer
    x = 215.41

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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.