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Finding the Fourth Proportional to 314.12, 431.25 and 306.08

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Solution

The fourth proportional to 314.12, 431.25 and 306.08 is: 420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 431.25 = 306.08 : x
  2. Step 2: Convert to fraction form
    314.12/431.25 = 306.08/x
  3. Step 3: Cross multiply
    314.12x = 431.25 × 306.08
  4. Step 4: Simplify right side
    314.12x = 131,994.84
  5. Step 5: Solve for x
    x = 131,994.84/314.12
  6. Step 6: Final answer
    x = 420.21

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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.