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Finding the Fourth Proportional to 314.76, 434.37 and 176.76

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Solution

The fourth proportional to 314.76, 434.37 and 176.76 is: 243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 434.37 = 176.76 : x
  2. Step 2: Convert to fraction form
    314.76/434.37 = 176.76/x
  3. Step 3: Cross multiply
    314.76x = 434.37 × 176.76
  4. Step 4: Simplify right side
    314.76x = 76,779.24
  5. Step 5: Solve for x
    x = 76,779.24/314.76
  6. Step 6: Final answer
    x = 243.93

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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.