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Finding the Fourth Proportional to 117.98, 176.04 and 117.30

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Solution

The fourth proportional to 117.98, 176.04 and 117.30 is: 175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 176.04 = 117.30 : x
  2. Step 2: Convert to fraction form
    117.98/176.04 = 117.30/x
  3. Step 3: Cross multiply
    117.98x = 176.04 × 117.30
  4. Step 4: Simplify right side
    117.98x = 20,649.49
  5. Step 5: Solve for x
    x = 20,649.49/117.98
  6. Step 6: Final answer
    x = 175.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.