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Finding the Fourth Proportional to 374.38, 560.41 and 342.49

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Solution

The fourth proportional to 374.38, 560.41 and 342.49 is: 512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.38 : 560.41 = 342.49 : x
  2. Step 2: Convert to fraction form
    374.38/560.41 = 342.49/x
  3. Step 3: Cross multiply
    374.38x = 560.41 × 342.49
  4. Step 4: Simplify right side
    374.38x = 191,930.31
  5. Step 5: Solve for x
    x = 191,930.31/374.38
  6. Step 6: Final answer
    x = 512.67

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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.