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Finding the Fourth Proportional to 157.83, 237.84 and 152.97

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Solution

The fourth proportional to 157.83, 237.84 and 152.97 is: 230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.83 : 237.84 = 152.97 : x
  2. Step 2: Convert to fraction form
    157.83/237.84 = 152.97/x
  3. Step 3: Cross multiply
    157.83x = 237.84 × 152.97
  4. Step 4: Simplify right side
    157.83x = 36,382.38
  5. Step 5: Solve for x
    x = 36,382.38/157.83
  6. Step 6: Final answer
    x = 230.52

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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.