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Finding the Fourth Proportional to 368.93, 509.11 and 221.49

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Solution

The fourth proportional to 368.93, 509.11 and 221.49 is: 305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.93 : 509.11 = 221.49 : x
  2. Step 2: Convert to fraction form
    368.93/509.11 = 221.49/x
  3. Step 3: Cross multiply
    368.93x = 509.11 × 221.49
  4. Step 4: Simplify right side
    368.93x = 112,762.77
  5. Step 5: Solve for x
    x = 112,762.77/368.93
  6. Step 6: Final answer
    x = 305.65

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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.