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Finding the Fourth Proportional to 310.56, 428.64 and 207

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Solution

The fourth proportional to 310.56, 428.64 and 207 is: 285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 428.64 = 207 : x
  2. Step 2: Convert to fraction form
    310.56/428.64 = 207/x
  3. Step 3: Cross multiply
    310.56x = 428.64 × 207
  4. Step 4: Simplify right side
    310.56x = 88,728.48
  5. Step 5: Solve for x
    x = 88,728.48/310.56
  6. Step 6: Final answer
    x = 285.70

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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.