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Finding the Fourth Proportional to 314.53, 434.05 and 176.53

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Solution

The fourth proportional to 314.53, 434.05 and 176.53 is: 243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 434.05 = 176.53 : x
  2. Step 2: Convert to fraction form
    314.53/434.05 = 176.53/x
  3. Step 3: Cross multiply
    314.53x = 434.05 × 176.53
  4. Step 4: Simplify right side
    314.53x = 76,623.94
  5. Step 5: Solve for x
    x = 76,623.94/314.53
  6. Step 6: Final answer
    x = 243.61

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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.