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Finding the Fourth Proportional to 390.90, 582.99 and 352.02

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Solution

The fourth proportional to 390.90, 582.99 and 352.02 is: 525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.90 : 582.99 = 352.02 : x
  2. Step 2: Convert to fraction form
    390.90/582.99 = 352.02/x
  3. Step 3: Cross multiply
    390.90x = 582.99 × 352.02
  4. Step 4: Simplify right side
    390.90x = 205,224.14
  5. Step 5: Solve for x
    x = 205,224.14/390.90
  6. Step 6: Final answer
    x = 525.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.