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Finding the Fourth Proportional to 210.57, 316.89 and 174.30

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Solution

The fourth proportional to 210.57, 316.89 and 174.30 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.57 : 316.89 = 174.30 : x
  2. Step 2: Convert to fraction form
    210.57/316.89 = 174.30/x
  3. Step 3: Cross multiply
    210.57x = 316.89 × 174.30
  4. Step 4: Simplify right side
    210.57x = 55,233.93
  5. Step 5: Solve for x
    x = 55,233.93/210.57
  6. Step 6: Final answer
    x = 262.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.