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Finding the Fourth Proportional to 280.61, 387.07 and 193.13

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Solution

The fourth proportional to 280.61, 387.07 and 193.13 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.61 : 387.07 = 193.13 : x
  2. Step 2: Convert to fraction form
    280.61/387.07 = 193.13/x
  3. Step 3: Cross multiply
    280.61x = 387.07 × 193.13
  4. Step 4: Simplify right side
    280.61x = 74,752.41
  5. Step 5: Solve for x
    x = 74,752.41/280.61
  6. Step 6: Final answer
    x = 266.40

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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.