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Finding the Fourth Proportional to 386.88, 534 and 270.40

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Solution

The fourth proportional to 386.88, 534 and 270.40 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.88 : 534 = 270.40 : x
  2. Step 2: Convert to fraction form
    386.88/534 = 270.40/x
  3. Step 3: Cross multiply
    386.88x = 534 × 270.40
  4. Step 4: Simplify right side
    386.88x = 144,393.60
  5. Step 5: Solve for x
    x = 144,393.60/386.88
  6. Step 6: Final answer
    x = 373.23

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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.