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Finding the Fourth Proportional to 390.15, 537.66 and 362.61

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Solution

The fourth proportional to 390.15, 537.66 and 362.61 is: 499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.15 : 537.66 = 362.61 : x
  2. Step 2: Convert to fraction form
    390.15/537.66 = 362.61/x
  3. Step 3: Cross multiply
    390.15x = 537.66 × 362.61
  4. Step 4: Simplify right side
    390.15x = 194,960.89
  5. Step 5: Solve for x
    x = 194,960.89/390.15
  6. Step 6: Final answer
    x = 499.71

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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.