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Finding the Fourth Proportional to 368.30, 552.75 and 195.08

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Solution

The fourth proportional to 368.30, 552.75 and 195.08 is: 292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 552.75 = 195.08 : x
  2. Step 2: Convert to fraction form
    368.30/552.75 = 195.08/x
  3. Step 3: Cross multiply
    368.30x = 552.75 × 195.08
  4. Step 4: Simplify right side
    368.30x = 107,827.71
  5. Step 5: Solve for x
    x = 107,827.71/368.30
  6. Step 6: Final answer
    x = 292.77

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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.