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Finding the Fourth Proportional to 215.01, 296.19 and 165.87

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Solution

The fourth proportional to 215.01, 296.19 and 165.87 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.01 : 296.19 = 165.87 : x
  2. Step 2: Convert to fraction form
    215.01/296.19 = 165.87/x
  3. Step 3: Cross multiply
    215.01x = 296.19 × 165.87
  4. Step 4: Simplify right side
    215.01x = 49,129.04
  5. Step 5: Solve for x
    x = 49,129.04/215.01
  6. Step 6: Final answer
    x = 228.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.