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Finding the Fourth Proportional to 158.15, 235.85 and 151.81

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Solution

The fourth proportional to 158.15, 235.85 and 151.81 is: 226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.15 : 235.85 = 151.81 : x
  2. Step 2: Convert to fraction form
    158.15/235.85 = 151.81/x
  3. Step 3: Cross multiply
    158.15x = 235.85 × 151.81
  4. Step 4: Simplify right side
    158.15x = 35,803.04
  5. Step 5: Solve for x
    x = 35,803.04/158.15
  6. Step 6: Final answer
    x = 226.38

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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.