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Finding the Fourth Proportional to 341.44, 514.65 and 312.22

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Solution

The fourth proportional to 341.44, 514.65 and 312.22 is: 470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.44 : 514.65 = 312.22 : x
  2. Step 2: Convert to fraction form
    341.44/514.65 = 312.22/x
  3. Step 3: Cross multiply
    341.44x = 514.65 × 312.22
  4. Step 4: Simplify right side
    341.44x = 160,684.02
  5. Step 5: Solve for x
    x = 160,684.02/341.44
  6. Step 6: Final answer
    x = 470.61

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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.