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Finding the Fourth Proportional to 385.14, 531 and 314.40

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Solution

The fourth proportional to 385.14, 531 and 314.40 is: 433.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 531 = 314.40 : x
  2. Step 2: Convert to fraction form
    385.14/531 = 314.40/x
  3. Step 3: Cross multiply
    385.14x = 531 × 314.40
  4. Step 4: Simplify right side
    385.14x = 166,946.40
  5. Step 5: Solve for x
    x = 166,946.40/385.14
  6. Step 6: Final answer
    x = 433.47

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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.