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Finding the Fourth Proportional to 386.90, 534.21 and 270.62

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Solution

The fourth proportional to 386.90, 534.21 and 270.62 is: 373.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 534.21 = 270.62 : x
  2. Step 2: Convert to fraction form
    386.90/534.21 = 270.62/x
  3. Step 3: Cross multiply
    386.90x = 534.21 × 270.62
  4. Step 4: Simplify right side
    386.90x = 144,567.91
  5. Step 5: Solve for x
    x = 144,567.91/386.90
  6. Step 6: Final answer
    x = 373.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.