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Finding the Fourth Proportional to 390.67, 588.94 and 364.24

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Solution

The fourth proportional to 390.67, 588.94 and 364.24 is: 549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.67 : 588.94 = 364.24 : x
  2. Step 2: Convert to fraction form
    390.67/588.94 = 364.24/x
  3. Step 3: Cross multiply
    390.67x = 588.94 × 364.24
  4. Step 4: Simplify right side
    390.67x = 214,515.33
  5. Step 5: Solve for x
    x = 214,515.33/390.67
  6. Step 6: Final answer
    x = 549.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.