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Finding the Fourth Proportional to 314.12, 430.92 and 305.58

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Solution

The fourth proportional to 314.12, 430.92 and 305.58 is: 419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 430.92 = 305.58 : x
  2. Step 2: Convert to fraction form
    314.12/430.92 = 305.58/x
  3. Step 3: Cross multiply
    314.12x = 430.92 × 305.58
  4. Step 4: Simplify right side
    314.12x = 131,680.53
  5. Step 5: Solve for x
    x = 131,680.53/314.12
  6. Step 6: Final answer
    x = 419.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.