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Finding the Fourth Proportional to 158.16, 235.84 and 154.67

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Solution

The fourth proportional to 158.16, 235.84 and 154.67 is: 230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.16 : 235.84 = 154.67 : x
  2. Step 2: Convert to fraction form
    158.16/235.84 = 154.67/x
  3. Step 3: Cross multiply
    158.16x = 235.84 × 154.67
  4. Step 4: Simplify right side
    158.16x = 36,477.37
  5. Step 5: Solve for x
    x = 36,477.37/158.16
  6. Step 6: Final answer
    x = 230.64

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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.