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Finding the Fourth Proportional to 315.22, 470.51 and 278.27

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Solution

The fourth proportional to 315.22, 470.51 and 278.27 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.22 : 470.51 = 278.27 : x
  2. Step 2: Convert to fraction form
    315.22/470.51 = 278.27/x
  3. Step 3: Cross multiply
    315.22x = 470.51 × 278.27
  4. Step 4: Simplify right side
    315.22x = 130,928.82
  5. Step 5: Solve for x
    x = 130,928.82/315.22
  6. Step 6: Final answer
    x = 415.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.