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Finding the Fourth Proportional to 289.17, 398.76 and 210.33

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Solution

The fourth proportional to 289.17, 398.76 and 210.33 is: 290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.17 : 398.76 = 210.33 : x
  2. Step 2: Convert to fraction form
    289.17/398.76 = 210.33/x
  3. Step 3: Cross multiply
    289.17x = 398.76 × 210.33
  4. Step 4: Simplify right side
    289.17x = 83,870.40
  5. Step 5: Solve for x
    x = 83,870.40/289.17
  6. Step 6: Final answer
    x = 290.04

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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.