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Finding the Fourth Proportional to 378.58, 571.28 and 365.02

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Solution

The fourth proportional to 378.58, 571.28 and 365.02 is: 550.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.58 : 571.28 = 365.02 : x
  2. Step 2: Convert to fraction form
    378.58/571.28 = 365.02/x
  3. Step 3: Cross multiply
    378.58x = 571.28 × 365.02
  4. Step 4: Simplify right side
    378.58x = 208,528.63
  5. Step 5: Solve for x
    x = 208,528.63/378.58
  6. Step 6: Final answer
    x = 550.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.