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Finding the Fourth Proportional to 377.99, 566.07 and 215.18

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Solution

The fourth proportional to 377.99, 566.07 and 215.18 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.99 : 566.07 = 215.18 : x
  2. Step 2: Convert to fraction form
    377.99/566.07 = 215.18/x
  3. Step 3: Cross multiply
    377.99x = 566.07 × 215.18
  4. Step 4: Simplify right side
    377.99x = 121,806.94
  5. Step 5: Solve for x
    x = 121,806.94/377.99
  6. Step 6: Final answer
    x = 322.25

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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.