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Finding the Fourth Proportional to 390.80, 587.52 and 336.08

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Solution

The fourth proportional to 390.80, 587.52 and 336.08 is: 505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 587.52 = 336.08 : x
  2. Step 2: Convert to fraction form
    390.80/587.52 = 336.08/x
  3. Step 3: Cross multiply
    390.80x = 587.52 × 336.08
  4. Step 4: Simplify right side
    390.80x = 197,453.72
  5. Step 5: Solve for x
    x = 197,453.72/390.80
  6. Step 6: Final answer
    x = 505.26

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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.