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Finding the Fourth Proportional to 158.07, 236.90 and 66.64

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Solution

The fourth proportional to 158.07, 236.90 and 66.64 is: 99.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.07 : 236.90 = 66.64 : x
  2. Step 2: Convert to fraction form
    158.07/236.90 = 66.64/x
  3. Step 3: Cross multiply
    158.07x = 236.90 × 66.64
  4. Step 4: Simplify right side
    158.07x = 15,787.02
  5. Step 5: Solve for x
    x = 15,787.02/158.07
  6. Step 6: Final answer
    x = 99.87

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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.