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Finding the Fourth Proportional to 210.64, 289.98 and 177.88

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Solution

The fourth proportional to 210.64, 289.98 and 177.88 is: 244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 289.98 = 177.88 : x
  2. Step 2: Convert to fraction form
    210.64/289.98 = 177.88/x
  3. Step 3: Cross multiply
    210.64x = 289.98 × 177.88
  4. Step 4: Simplify right side
    210.64x = 51,581.64
  5. Step 5: Solve for x
    x = 51,581.64/210.64
  6. Step 6: Final answer
    x = 244.88

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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.