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Finding the Fourth Proportional to 280.76, 387.14 and 193.24

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Solution

The fourth proportional to 280.76, 387.14 and 193.24 is: 266.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.76 : 387.14 = 193.24 : x
  2. Step 2: Convert to fraction form
    280.76/387.14 = 193.24/x
  3. Step 3: Cross multiply
    280.76x = 387.14 × 193.24
  4. Step 4: Simplify right side
    280.76x = 74,810.93
  5. Step 5: Solve for x
    x = 74,810.93/280.76
  6. Step 6: Final answer
    x = 266.46

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Find fourth proportional to 140.38, 193.57 and 96.62
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.