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Finding the Fourth Proportional to 367.98, 507.86 and 210.63

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Solution

The fourth proportional to 367.98, 507.86 and 210.63 is: 290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.98 : 507.86 = 210.63 : x
  2. Step 2: Convert to fraction form
    367.98/507.86 = 210.63/x
  3. Step 3: Cross multiply
    367.98x = 507.86 × 210.63
  4. Step 4: Simplify right side
    367.98x = 106,972.19
  5. Step 5: Solve for x
    x = 106,972.19/367.98
  6. Step 6: Final answer
    x = 290.70

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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.