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Finding the Fourth Proportional to 431.01, 594.18 and 291.06

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Solution

The fourth proportional to 431.01, 594.18 and 291.06 is: 401.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.01 : 594.18 = 291.06 : x
  2. Step 2: Convert to fraction form
    431.01/594.18 = 291.06/x
  3. Step 3: Cross multiply
    431.01x = 594.18 × 291.06
  4. Step 4: Simplify right side
    431.01x = 172,942.03
  5. Step 5: Solve for x
    x = 172,942.03/431.01
  6. Step 6: Final answer
    x = 401.25

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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.