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Finding the Fourth Proportional to 315.46, 437.02 and 307.90

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Solution

The fourth proportional to 315.46, 437.02 and 307.90 is: 426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.46 : 437.02 = 307.90 : x
  2. Step 2: Convert to fraction form
    315.46/437.02 = 307.90/x
  3. Step 3: Cross multiply
    315.46x = 437.02 × 307.90
  4. Step 4: Simplify right side
    315.46x = 134,554.73
  5. Step 5: Solve for x
    x = 134,554.73/315.46
  6. Step 6: Final answer
    x = 426.54

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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.