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Finding the Fourth Proportional to 380.64, 566.95 and 372.64

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Solution

The fourth proportional to 380.64, 566.95 and 372.64 is: 555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 566.95 = 372.64 : x
  2. Step 2: Convert to fraction form
    380.64/566.95 = 372.64/x
  3. Step 3: Cross multiply
    380.64x = 566.95 × 372.64
  4. Step 4: Simplify right side
    380.64x = 211,268.25
  5. Step 5: Solve for x
    x = 211,268.25/380.64
  6. Step 6: Final answer
    x = 555.03

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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.