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Finding the Fourth Proportional to 215.04, 322.36 and 195.40

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Solution

The fourth proportional to 215.04, 322.36 and 195.40 is: 292.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.04 : 322.36 = 195.40 : x
  2. Step 2: Convert to fraction form
    215.04/322.36 = 195.40/x
  3. Step 3: Cross multiply
    215.04x = 322.36 × 195.40
  4. Step 4: Simplify right side
    215.04x = 62,989.14
  5. Step 5: Solve for x
    x = 62,989.14/215.04
  6. Step 6: Final answer
    x = 292.92

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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.