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Finding the Fourth Proportional to 312.82, 466.93 and 290.29

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Solution

The fourth proportional to 312.82, 466.93 and 290.29 is: 433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.82 : 466.93 = 290.29 : x
  2. Step 2: Convert to fraction form
    312.82/466.93 = 290.29/x
  3. Step 3: Cross multiply
    312.82x = 466.93 × 290.29
  4. Step 4: Simplify right side
    312.82x = 135,545.11
  5. Step 5: Solve for x
    x = 135,545.11/312.82
  6. Step 6: Final answer
    x = 433.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.