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Finding the Fourth Proportional to 500.17, 690.04 and 290.31

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Solution

The fourth proportional to 500.17, 690.04 and 290.31 is: 400.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.17 : 690.04 = 290.31 : x
  2. Step 2: Convert to fraction form
    500.17/690.04 = 290.31/x
  3. Step 3: Cross multiply
    500.17x = 690.04 × 290.31
  4. Step 4: Simplify right side
    500.17x = 200,325.51
  5. Step 5: Solve for x
    x = 200,325.51/500.17
  6. Step 6: Final answer
    x = 400.51

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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.