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Finding the Fourth Proportional to 315.72, 433.29 and 307.56

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Solution

The fourth proportional to 315.72, 433.29 and 307.56 is: 422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 433.29 = 307.56 : x
  2. Step 2: Convert to fraction form
    315.72/433.29 = 307.56/x
  3. Step 3: Cross multiply
    315.72x = 433.29 × 307.56
  4. Step 4: Simplify right side
    315.72x = 133,262.67
  5. Step 5: Solve for x
    x = 133,262.67/315.72
  6. Step 6: Final answer
    x = 422.09

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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.