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Finding the Fourth Proportional to 293.17, 403.95 and 210.15

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Solution

The fourth proportional to 293.17, 403.95 and 210.15 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 403.95 = 210.15 : x
  2. Step 2: Convert to fraction form
    293.17/403.95 = 210.15/x
  3. Step 3: Cross multiply
    293.17x = 403.95 × 210.15
  4. Step 4: Simplify right side
    293.17x = 84,890.09
  5. Step 5: Solve for x
    x = 84,890.09/293.17
  6. Step 6: Final answer
    x = 289.56

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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.