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Finding the Fourth Proportional to 164.40, 245.52 and 140.16

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Solution

The fourth proportional to 164.40, 245.52 and 140.16 is: 209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 245.52 = 140.16 : x
  2. Step 2: Convert to fraction form
    164.40/245.52 = 140.16/x
  3. Step 3: Cross multiply
    164.40x = 245.52 × 140.16
  4. Step 4: Simplify right side
    164.40x = 34,412.08
  5. Step 5: Solve for x
    x = 34,412.08/164.40
  6. Step 6: Final answer
    x = 209.32

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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.