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Finding the Fourth Proportional to 215.27, 322.67 and 176.93

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Solution

The fourth proportional to 215.27, 322.67 and 176.93 is: 265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.27 : 322.67 = 176.93 : x
  2. Step 2: Convert to fraction form
    215.27/322.67 = 176.93/x
  3. Step 3: Cross multiply
    215.27x = 322.67 × 176.93
  4. Step 4: Simplify right side
    215.27x = 57,087.51
  5. Step 5: Solve for x
    x = 57,087.51/215.27
  6. Step 6: Final answer
    x = 265.19

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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.