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Finding the Fourth Proportional to 158.37, 235.92 and 148.41

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Solution

The fourth proportional to 158.37, 235.92 and 148.41 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.37 : 235.92 = 148.41 : x
  2. Step 2: Convert to fraction form
    158.37/235.92 = 148.41/x
  3. Step 3: Cross multiply
    158.37x = 235.92 × 148.41
  4. Step 4: Simplify right side
    158.37x = 35,012.89
  5. Step 5: Solve for x
    x = 35,012.89/158.37
  6. Step 6: Final answer
    x = 221.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.