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Finding the Fourth Proportional to 215.63, 324.71 and 155.18

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Solution

The fourth proportional to 215.63, 324.71 and 155.18 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.63 : 324.71 = 155.18 : x
  2. Step 2: Convert to fraction form
    215.63/324.71 = 155.18/x
  3. Step 3: Cross multiply
    215.63x = 324.71 × 155.18
  4. Step 4: Simplify right side
    215.63x = 50,389.12
  5. Step 5: Solve for x
    x = 50,389.12/215.63
  6. Step 6: Final answer
    x = 233.68

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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.