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Finding the Fourth Proportional to 210.40, 290.64 and 172

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Solution

The fourth proportional to 210.40, 290.64 and 172 is: 237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.40 : 290.64 = 172 : x
  2. Step 2: Convert to fraction form
    210.40/290.64 = 172/x
  3. Step 3: Cross multiply
    210.40x = 290.64 × 172
  4. Step 4: Simplify right side
    210.40x = 49,990.08
  5. Step 5: Solve for x
    x = 49,990.08/210.40
  6. Step 6: Final answer
    x = 237.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.