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Finding the Fourth Proportional to 312.50, 470.62 and 272.41

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Solution

The fourth proportional to 312.50, 470.62 and 272.41 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.50 : 470.62 = 272.41 : x
  2. Step 2: Convert to fraction form
    312.50/470.62 = 272.41/x
  3. Step 3: Cross multiply
    312.50x = 470.62 × 272.41
  4. Step 4: Simplify right side
    312.50x = 128,200.76
  5. Step 5: Solve for x
    x = 128,200.76/312.50
  6. Step 6: Final answer
    x = 410.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.