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Finding the Fourth Proportional to 164.70, 245.59 and 153.99

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Solution

The fourth proportional to 164.70, 245.59 and 153.99 is: 229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.70 : 245.59 = 153.99 : x
  2. Step 2: Convert to fraction form
    164.70/245.59 = 153.99/x
  3. Step 3: Cross multiply
    164.70x = 245.59 × 153.99
  4. Step 4: Simplify right side
    164.70x = 37,818.02
  5. Step 5: Solve for x
    x = 37,818.02/164.70
  6. Step 6: Final answer
    x = 229.62

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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.