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Finding the Fourth Proportional to 309.72, 462.54 and 275.70

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Solution

The fourth proportional to 309.72, 462.54 and 275.70 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 462.54 = 275.70 : x
  2. Step 2: Convert to fraction form
    309.72/462.54 = 275.70/x
  3. Step 3: Cross multiply
    309.72x = 462.54 × 275.70
  4. Step 4: Simplify right side
    309.72x = 127,522.28
  5. Step 5: Solve for x
    x = 127,522.28/309.72
  6. Step 6: Final answer
    x = 411.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.