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Finding the Fourth Proportional to 375.80, 560.28 and 366.32

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Solution

The fourth proportional to 375.80, 560.28 and 366.32 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.80 : 560.28 = 366.32 : x
  2. Step 2: Convert to fraction form
    375.80/560.28 = 366.32/x
  3. Step 3: Cross multiply
    375.80x = 560.28 × 366.32
  4. Step 4: Simplify right side
    375.80x = 205,241.77
  5. Step 5: Solve for x
    x = 205,241.77/375.80
  6. Step 6: Final answer
    x = 546.15

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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.