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Finding the Fourth Proportional to 312.88, 432.12 and 247.20

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Solution

The fourth proportional to 312.88, 432.12 and 247.20 is: 341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.88 : 432.12 = 247.20 : x
  2. Step 2: Convert to fraction form
    312.88/432.12 = 247.20/x
  3. Step 3: Cross multiply
    312.88x = 432.12 × 247.20
  4. Step 4: Simplify right side
    312.88x = 106,820.06
  5. Step 5: Solve for x
    x = 106,820.06/312.88
  6. Step 6: Final answer
    x = 341.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.