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Finding the Fourth Proportional to 476.93, 715.38 and 261.86

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Solution

The fourth proportional to 476.93, 715.38 and 261.86 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 715.38 = 261.86 : x
  2. Step 2: Convert to fraction form
    476.93/715.38 = 261.86/x
  3. Step 3: Cross multiply
    476.93x = 715.38 × 261.86
  4. Step 4: Simplify right side
    476.93x = 187,329.41
  5. Step 5: Solve for x
    x = 187,329.41/476.93
  6. Step 6: Final answer
    x = 392.78

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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.