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Finding the Fourth Proportional to 390.88, 585.72 and 350.08

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Solution

The fourth proportional to 390.88, 585.72 and 350.08 is: 524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.88 : 585.72 = 350.08 : x
  2. Step 2: Convert to fraction form
    390.88/585.72 = 350.08/x
  3. Step 3: Cross multiply
    390.88x = 585.72 × 350.08
  4. Step 4: Simplify right side
    390.88x = 205,048.86
  5. Step 5: Solve for x
    x = 205,048.86/390.88
  6. Step 6: Final answer
    x = 524.58

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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.