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Finding the Fourth Proportional to 210.34, 289.72 and 177.10

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Solution

The fourth proportional to 210.34, 289.72 and 177.10 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 289.72 = 177.10 : x
  2. Step 2: Convert to fraction form
    210.34/289.72 = 177.10/x
  3. Step 3: Cross multiply
    210.34x = 289.72 × 177.10
  4. Step 4: Simplify right side
    210.34x = 51,310.00
  5. Step 5: Solve for x
    x = 51,310.00/210.34
  6. Step 6: Final answer
    x = 243.94

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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.