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Finding the Fourth Proportional to 370.75, 511.63 and 202.70

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Solution

The fourth proportional to 370.75, 511.63 and 202.70 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.75 : 511.63 = 202.70 : x
  2. Step 2: Convert to fraction form
    370.75/511.63 = 202.70/x
  3. Step 3: Cross multiply
    370.75x = 511.63 × 202.70
  4. Step 4: Simplify right side
    370.75x = 103,706.39
  5. Step 5: Solve for x
    x = 103,706.39/370.75
  6. Step 6: Final answer
    x = 279.72

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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.