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Finding the Fourth Proportional to 378.60, 563.96 and 373.74

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Solution

The fourth proportional to 378.60, 563.96 and 373.74 is: 556.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.60 : 563.96 = 373.74 : x
  2. Step 2: Convert to fraction form
    378.60/563.96 = 373.74/x
  3. Step 3: Cross multiply
    378.60x = 563.96 × 373.74
  4. Step 4: Simplify right side
    378.60x = 210,774.41
  5. Step 5: Solve for x
    x = 210,774.41/378.60
  6. Step 6: Final answer
    x = 556.72

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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.