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Finding the Fourth Proportional to 164.59, 245.57 and 147.67

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Solution

The fourth proportional to 164.59, 245.57 and 147.67 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.59 : 245.57 = 147.67 : x
  2. Step 2: Convert to fraction form
    164.59/245.57 = 147.67/x
  3. Step 3: Cross multiply
    164.59x = 245.57 × 147.67
  4. Step 4: Simplify right side
    164.59x = 36,261.97
  5. Step 5: Solve for x
    x = 36,261.97/164.59
  6. Step 6: Final answer
    x = 220.32

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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.