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Finding the Fourth Proportional to 290.71, 400.76 and 238.01

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Solution

The fourth proportional to 290.71, 400.76 and 238.01 is: 328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.71 : 400.76 = 238.01 : x
  2. Step 2: Convert to fraction form
    290.71/400.76 = 238.01/x
  3. Step 3: Cross multiply
    290.71x = 400.76 × 238.01
  4. Step 4: Simplify right side
    290.71x = 95,383.93
  5. Step 5: Solve for x
    x = 95,383.93/290.71
  6. Step 6: Final answer
    x = 328.11

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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.