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Finding the Fourth Proportional to 406.23, 560.15 and 275.01

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Solution

The fourth proportional to 406.23, 560.15 and 275.01 is: 379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.23 : 560.15 = 275.01 : x
  2. Step 2: Convert to fraction form
    406.23/560.15 = 275.01/x
  3. Step 3: Cross multiply
    406.23x = 560.15 × 275.01
  4. Step 4: Simplify right side
    406.23x = 154,046.85
  5. Step 5: Solve for x
    x = 154,046.85/406.23
  6. Step 6: Final answer
    x = 379.21

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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.