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Finding the Fourth Proportional to 215.83, 322.07 and 192.75

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Solution

The fourth proportional to 215.83, 322.07 and 192.75 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.83 : 322.07 = 192.75 : x
  2. Step 2: Convert to fraction form
    215.83/322.07 = 192.75/x
  3. Step 3: Cross multiply
    215.83x = 322.07 × 192.75
  4. Step 4: Simplify right side
    215.83x = 62,079.17
  5. Step 5: Solve for x
    x = 62,079.17/215.83
  6. Step 6: Final answer
    x = 287.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.