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Finding the Fourth Proportional to 476.93, 715.91 and 271.91

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Solution

The fourth proportional to 476.93, 715.91 and 271.91 is: 408.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.93 : 715.91 = 271.91 : x
  2. Step 2: Convert to fraction form
    476.93/715.91 = 271.91/x
  3. Step 3: Cross multiply
    476.93x = 715.91 × 271.91
  4. Step 4: Simplify right side
    476.93x = 194,663.52
  5. Step 5: Solve for x
    x = 194,663.52/476.93
  6. Step 6: Final answer
    x = 408.16

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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.