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Finding the Fourth Proportional to 379.19, 522.02 and 312.90

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Solution

The fourth proportional to 379.19, 522.02 and 312.90 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.19 : 522.02 = 312.90 : x
  2. Step 2: Convert to fraction form
    379.19/522.02 = 312.90/x
  3. Step 3: Cross multiply
    379.19x = 522.02 × 312.90
  4. Step 4: Simplify right side
    379.19x = 163,338.49
  5. Step 5: Solve for x
    x = 163,338.49/379.19
  6. Step 6: Final answer
    x = 430.76

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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.