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Finding the Fourth Proportional to 368.09, 507.81 and 210.69

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Solution

The fourth proportional to 368.09, 507.81 and 210.69 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.09 : 507.81 = 210.69 : x
  2. Step 2: Convert to fraction form
    368.09/507.81 = 210.69/x
  3. Step 3: Cross multiply
    368.09x = 507.81 × 210.69
  4. Step 4: Simplify right side
    368.09x = 106,992.11
  5. Step 5: Solve for x
    x = 106,992.11/368.09
  6. Step 6: Final answer
    x = 290.67

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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.