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Finding the Fourth Proportional to 309.52, 430.56 and 303.58

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Solution

The fourth proportional to 309.52, 430.56 and 303.58 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.52 : 430.56 = 303.58 : x
  2. Step 2: Convert to fraction form
    309.52/430.56 = 303.58/x
  3. Step 3: Cross multiply
    309.52x = 430.56 × 303.58
  4. Step 4: Simplify right side
    309.52x = 130,709.40
  5. Step 5: Solve for x
    x = 130,709.40/309.52
  6. Step 6: Final answer
    x = 422.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.