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Finding the Fourth Proportional to 370.65, 511.89 and 281.96

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Solution

The fourth proportional to 370.65, 511.89 and 281.96 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.65 : 511.89 = 281.96 : x
  2. Step 2: Convert to fraction form
    370.65/511.89 = 281.96/x
  3. Step 3: Cross multiply
    370.65x = 511.89 × 281.96
  4. Step 4: Simplify right side
    370.65x = 144,329.94
  5. Step 5: Solve for x
    x = 144,329.94/370.65
  6. Step 6: Final answer
    x = 389.40

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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.