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Finding the Fourth Proportional to 334.23, 501.20 and 117.66

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Solution

The fourth proportional to 334.23, 501.20 and 117.66 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.23 : 501.20 = 117.66 : x
  2. Step 2: Convert to fraction form
    334.23/501.20 = 117.66/x
  3. Step 3: Cross multiply
    334.23x = 501.20 × 117.66
  4. Step 4: Simplify right side
    334.23x = 58,970.60
  5. Step 5: Solve for x
    x = 58,970.60/334.23
  6. Step 6: Final answer
    x = 176.44

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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.