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Finding the Fourth Proportional to 315.76, 434 and 278.70

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Solution

The fourth proportional to 315.76, 434 and 278.70 is: 383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.76 : 434 = 278.70 : x
  2. Step 2: Convert to fraction form
    315.76/434 = 278.70/x
  3. Step 3: Cross multiply
    315.76x = 434 × 278.70
  4. Step 4: Simplify right side
    315.76x = 120,955.80
  5. Step 5: Solve for x
    x = 120,955.80/315.76
  6. Step 6: Final answer
    x = 383.06

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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.