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Finding the Fourth Proportional to 469.13, 703.62 and 140.00

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Solution

The fourth proportional to 469.13, 703.62 and 140.00 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.13 : 703.62 = 140.00 : x
  2. Step 2: Convert to fraction form
    469.13/703.62 = 140.00/x
  3. Step 3: Cross multiply
    469.13x = 703.62 × 140.00
  4. Step 4: Simplify right side
    469.13x = 98,503.28
  5. Step 5: Solve for x
    x = 98,503.28/469.13
  6. Step 6: Final answer
    x = 209.97

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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.