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Finding the Fourth Proportional to 385.68, 575.70 and 334.68

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Solution

The fourth proportional to 385.68, 575.70 and 334.68 is: 499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.68 : 575.70 = 334.68 : x
  2. Step 2: Convert to fraction form
    385.68/575.70 = 334.68/x
  3. Step 3: Cross multiply
    385.68x = 575.70 × 334.68
  4. Step 4: Simplify right side
    385.68x = 192,675.28
  5. Step 5: Solve for x
    x = 192,675.28/385.68
  6. Step 6: Final answer
    x = 499.57

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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.