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Finding the Fourth Proportional to 370.86, 559.34 and 366.75

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Solution

The fourth proportional to 370.86, 559.34 and 366.75 is: 553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.86 : 559.34 = 366.75 : x
  2. Step 2: Convert to fraction form
    370.86/559.34 = 366.75/x
  3. Step 3: Cross multiply
    370.86x = 559.34 × 366.75
  4. Step 4: Simplify right side
    370.86x = 205,136.11
  5. Step 5: Solve for x
    x = 205,136.11/370.86
  6. Step 6: Final answer
    x = 553.14

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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.