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Finding the Fourth Proportional to 378.12, 563.47 and 374.93

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Solution

The fourth proportional to 378.12, 563.47 and 374.93 is: 558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 563.47 = 374.93 : x
  2. Step 2: Convert to fraction form
    378.12/563.47 = 374.93/x
  3. Step 3: Cross multiply
    378.12x = 563.47 × 374.93
  4. Step 4: Simplify right side
    378.12x = 211,260.69
  5. Step 5: Solve for x
    x = 211,260.69/378.12
  6. Step 6: Final answer
    x = 558.72

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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.