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Finding the Fourth Proportional to 375.72, 560.74 and 334.10

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Solution

The fourth proportional to 375.72, 560.74 and 334.10 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.72 : 560.74 = 334.10 : x
  2. Step 2: Convert to fraction form
    375.72/560.74 = 334.10/x
  3. Step 3: Cross multiply
    375.72x = 560.74 × 334.10
  4. Step 4: Simplify right side
    375.72x = 187,343.23
  5. Step 5: Solve for x
    x = 187,343.23/375.72
  6. Step 6: Final answer
    x = 498.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.