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Finding the Fourth Proportional to 290.47, 400.86 and 174.01

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Solution

The fourth proportional to 290.47, 400.86 and 174.01 is: 240.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.47 : 400.86 = 174.01 : x
  2. Step 2: Convert to fraction form
    290.47/400.86 = 174.01/x
  3. Step 3: Cross multiply
    290.47x = 400.86 × 174.01
  4. Step 4: Simplify right side
    290.47x = 69,753.65
  5. Step 5: Solve for x
    x = 69,753.65/290.47
  6. Step 6: Final answer
    x = 240.14

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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.