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Finding the Fourth Proportional to 376.60, 564.90 and 374.20

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Solution

The fourth proportional to 376.60, 564.90 and 374.20 is: 561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.60 : 564.90 = 374.20 : x
  2. Step 2: Convert to fraction form
    376.60/564.90 = 374.20/x
  3. Step 3: Cross multiply
    376.60x = 564.90 × 374.20
  4. Step 4: Simplify right side
    376.60x = 211,385.58
  5. Step 5: Solve for x
    x = 211,385.58/376.60
  6. Step 6: Final answer
    x = 561.30

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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.