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Finding the Fourth Proportional to 290.88, 438.04 and 210.29

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Solution

The fourth proportional to 290.88, 438.04 and 210.29 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.88 : 438.04 = 210.29 : x
  2. Step 2: Convert to fraction form
    290.88/438.04 = 210.29/x
  3. Step 3: Cross multiply
    290.88x = 438.04 × 210.29
  4. Step 4: Simplify right side
    290.88x = 92,113.50
  5. Step 5: Solve for x
    x = 92,113.50/290.88
  6. Step 6: Final answer
    x = 316.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.