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Finding the Fourth Proportional to 210.24, 314.02 and 164.10

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Solution

The fourth proportional to 210.24, 314.02 and 164.10 is: 245.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.24 : 314.02 = 164.10 : x
  2. Step 2: Convert to fraction form
    210.24/314.02 = 164.10/x
  3. Step 3: Cross multiply
    210.24x = 314.02 × 164.10
  4. Step 4: Simplify right side
    210.24x = 51,528.29
  5. Step 5: Solve for x
    x = 51,528.29/210.24
  6. Step 6: Final answer
    x = 245.09

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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.