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Finding the Fourth Proportional to 117.04, 174.91 and 104.99

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Solution

The fourth proportional to 117.04, 174.91 and 104.99 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.04 : 174.91 = 104.99 : x
  2. Step 2: Convert to fraction form
    117.04/174.91 = 104.99/x
  3. Step 3: Cross multiply
    117.04x = 174.91 × 104.99
  4. Step 4: Simplify right side
    117.04x = 18,363.71
  5. Step 5: Solve for x
    x = 18,363.71/117.04
  6. Step 6: Final answer
    x = 156.90

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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.