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Finding the Fourth Proportional to 157.92, 236.98 and 66.64

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Solution

The fourth proportional to 157.92, 236.98 and 66.64 is: 100.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.92 : 236.98 = 66.64 : x
  2. Step 2: Convert to fraction form
    157.92/236.98 = 66.64/x
  3. Step 3: Cross multiply
    157.92x = 236.98 × 66.64
  4. Step 4: Simplify right side
    157.92x = 15,792.35
  5. Step 5: Solve for x
    x = 15,792.35/157.92
  6. Step 6: Final answer
    x = 100.00

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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.