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Finding the Fourth Proportional to 310.42, 428.28 and 186.10

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Solution

The fourth proportional to 310.42, 428.28 and 186.10 is: 256.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.42 : 428.28 = 186.10 : x
  2. Step 2: Convert to fraction form
    310.42/428.28 = 186.10/x
  3. Step 3: Cross multiply
    310.42x = 428.28 × 186.10
  4. Step 4: Simplify right side
    310.42x = 79,702.91
  5. Step 5: Solve for x
    x = 79,702.91/310.42
  6. Step 6: Final answer
    x = 256.76

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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.