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Finding the Fourth Proportional to 370.40, 559.79 and 364.02

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Solution

The fourth proportional to 370.40, 559.79 and 364.02 is: 550.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.40 : 559.79 = 364.02 : x
  2. Step 2: Convert to fraction form
    370.40/559.79 = 364.02/x
  3. Step 3: Cross multiply
    370.40x = 559.79 × 364.02
  4. Step 4: Simplify right side
    370.40x = 203,774.76
  5. Step 5: Solve for x
    x = 203,774.76/370.40
  6. Step 6: Final answer
    x = 550.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.