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Finding the Fourth Proportional to 405.98, 560.46 and 275.66

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Solution

The fourth proportional to 405.98, 560.46 and 275.66 is: 380.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.98 : 560.46 = 275.66 : x
  2. Step 2: Convert to fraction form
    405.98/560.46 = 275.66/x
  3. Step 3: Cross multiply
    405.98x = 560.46 × 275.66
  4. Step 4: Simplify right side
    405.98x = 154,496.40
  5. Step 5: Solve for x
    x = 154,496.40/405.98
  6. Step 6: Final answer
    x = 380.55

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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.