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Finding the Fourth Proportional to 740.64, 1,110.95 and 192.81

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Solution

The fourth proportional to 740.64, 1,110.95 and 192.81 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.64 : 1,110.95 = 192.81 : x
  2. Step 2: Convert to fraction form
    740.64/1,110.95 = 192.81/x
  3. Step 3: Cross multiply
    740.64x = 1,110.95 × 192.81
  4. Step 4: Simplify right side
    740.64x = 214,201.31
  5. Step 5: Solve for x
    x = 214,201.31/740.64
  6. Step 6: Final answer
    x = 289.21

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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.