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Finding the Fourth Proportional to 241.40, 360.55 and 193.16

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Solution

The fourth proportional to 241.40, 360.55 and 193.16 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.40 : 360.55 = 193.16 : x
  2. Step 2: Convert to fraction form
    241.40/360.55 = 193.16/x
  3. Step 3: Cross multiply
    241.40x = 360.55 × 193.16
  4. Step 4: Simplify right side
    241.40x = 69,643.84
  5. Step 5: Solve for x
    x = 69,643.84/241.40
  6. Step 6: Final answer
    x = 288.50

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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.