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Finding the Fourth Proportional to 465.42, 698.16 and 140.76

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Solution

The fourth proportional to 465.42, 698.16 and 140.76 is: 211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 698.16 = 140.76 : x
  2. Step 2: Convert to fraction form
    465.42/698.16 = 140.76/x
  3. Step 3: Cross multiply
    465.42x = 698.16 × 140.76
  4. Step 4: Simplify right side
    465.42x = 98,273.00
  5. Step 5: Solve for x
    x = 98,273.00/465.42
  6. Step 6: Final answer
    x = 211.15

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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.