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Finding the Fourth Proportional to 910.79, 1,366.38 and 261.47

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Solution

The fourth proportional to 910.79, 1,366.38 and 261.47 is: 392.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.79 : 1,366.38 = 261.47 : x
  2. Step 2: Convert to fraction form
    910.79/1,366.38 = 261.47/x
  3. Step 3: Cross multiply
    910.79x = 1,366.38 × 261.47
  4. Step 4: Simplify right side
    910.79x = 357,270.79
  5. Step 5: Solve for x
    x = 357,270.79/910.79
  6. Step 6: Final answer
    x = 392.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.