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Finding the Fourth Proportional to 210.54, 316.02 and 176.52

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Solution

The fourth proportional to 210.54, 316.02 and 176.52 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 316.02 = 176.52 : x
  2. Step 2: Convert to fraction form
    210.54/316.02 = 176.52/x
  3. Step 3: Cross multiply
    210.54x = 316.02 × 176.52
  4. Step 4: Simplify right side
    210.54x = 55,783.85
  5. Step 5: Solve for x
    x = 55,783.85/210.54
  6. Step 6: Final answer
    x = 264.96

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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.