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Finding the Fourth Proportional to 370.50, 556.76 and 346.42

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Solution

The fourth proportional to 370.50, 556.76 and 346.42 is: 520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 556.76 = 346.42 : x
  2. Step 2: Convert to fraction form
    370.50/556.76 = 346.42/x
  3. Step 3: Cross multiply
    370.50x = 556.76 × 346.42
  4. Step 4: Simplify right side
    370.50x = 192,872.80
  5. Step 5: Solve for x
    x = 192,872.80/370.50
  6. Step 6: Final answer
    x = 520.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.