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Finding the Fourth Proportional to 215.94, 324.16 and 177.86

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Solution

The fourth proportional to 215.94, 324.16 and 177.86 is: 267.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.94 : 324.16 = 177.86 : x
  2. Step 2: Convert to fraction form
    215.94/324.16 = 177.86/x
  3. Step 3: Cross multiply
    215.94x = 324.16 × 177.86
  4. Step 4: Simplify right side
    215.94x = 57,655.10
  5. Step 5: Solve for x
    x = 57,655.10/215.94
  6. Step 6: Final answer
    x = 267.00

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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.