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Finding the Fourth Proportional to 315.20, 437.48 and 307.28

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Solution

The fourth proportional to 315.20, 437.48 and 307.28 is: 426.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 437.48 = 307.28 : x
  2. Step 2: Convert to fraction form
    315.20/437.48 = 307.28/x
  3. Step 3: Cross multiply
    315.20x = 437.48 × 307.28
  4. Step 4: Simplify right side
    315.20x = 134,428.85
  5. Step 5: Solve for x
    x = 134,428.85/315.20
  6. Step 6: Final answer
    x = 426.49

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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.