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Finding the Fourth Proportional to 387.01, 534.23 and 270.64

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Solution

The fourth proportional to 387.01, 534.23 and 270.64 is: 373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.01 : 534.23 = 270.64 : x
  2. Step 2: Convert to fraction form
    387.01/534.23 = 270.64/x
  3. Step 3: Cross multiply
    387.01x = 534.23 × 270.64
  4. Step 4: Simplify right side
    387.01x = 144,584.01
  5. Step 5: Solve for x
    x = 144,584.01/387.01
  6. Step 6: Final answer
    x = 373.59

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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.