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Finding the Fourth Proportional to 390.42, 584.48 and 364.77

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Solution

The fourth proportional to 390.42, 584.48 and 364.77 is: 546.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 584.48 = 364.77 : x
  2. Step 2: Convert to fraction form
    390.42/584.48 = 364.77/x
  3. Step 3: Cross multiply
    390.42x = 584.48 × 364.77
  4. Step 4: Simplify right side
    390.42x = 213,201.68
  5. Step 5: Solve for x
    x = 213,201.68/390.42
  6. Step 6: Final answer
    x = 546.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.