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Finding the Fourth Proportional to 538.16, 741.90 and 388.84

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Solution

The fourth proportional to 538.16, 741.90 and 388.84 is: 536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.16 : 741.90 = 388.84 : x
  2. Step 2: Convert to fraction form
    538.16/741.90 = 388.84/x
  3. Step 3: Cross multiply
    538.16x = 741.90 × 388.84
  4. Step 4: Simplify right side
    538.16x = 288,480.40
  5. Step 5: Solve for x
    x = 288,480.40/538.16
  6. Step 6: Final answer
    x = 536.05

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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.