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Finding the Fourth Proportional to 390.48, 535.44 and 376.74

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Solution

The fourth proportional to 390.48, 535.44 and 376.74 is: 516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 535.44 = 376.74 : x
  2. Step 2: Convert to fraction form
    390.48/535.44 = 376.74/x
  3. Step 3: Cross multiply
    390.48x = 535.44 × 376.74
  4. Step 4: Simplify right side
    390.48x = 201,721.67
  5. Step 5: Solve for x
    x = 201,721.67/390.48
  6. Step 6: Final answer
    x = 516.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.