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Finding the Fourth Proportional to 390.58, 582.48 and 359.08

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Solution

The fourth proportional to 390.58, 582.48 and 359.08 is: 535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.58 : 582.48 = 359.08 : x
  2. Step 2: Convert to fraction form
    390.58/582.48 = 359.08/x
  3. Step 3: Cross multiply
    390.58x = 582.48 × 359.08
  4. Step 4: Simplify right side
    390.58x = 209,156.92
  5. Step 5: Solve for x
    x = 209,156.92/390.58
  6. Step 6: Final answer
    x = 535.50

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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.