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Finding the Fourth Proportional to 386.34, 575.63 and 361.50

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Solution

The fourth proportional to 386.34, 575.63 and 361.50 is: 538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.34 : 575.63 = 361.50 : x
  2. Step 2: Convert to fraction form
    386.34/575.63 = 361.50/x
  3. Step 3: Cross multiply
    386.34x = 575.63 × 361.50
  4. Step 4: Simplify right side
    386.34x = 208,088.44
  5. Step 5: Solve for x
    x = 208,088.44/386.34
  6. Step 6: Final answer
    x = 538.61

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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.