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Finding the Fourth Proportional to 368.65, 508.66 and 221.23

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Solution

The fourth proportional to 368.65, 508.66 and 221.23 is: 305.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.65 : 508.66 = 221.23 : x
  2. Step 2: Convert to fraction form
    368.65/508.66 = 221.23/x
  3. Step 3: Cross multiply
    368.65x = 508.66 × 221.23
  4. Step 4: Simplify right side
    368.65x = 112,530.85
  5. Step 5: Solve for x
    x = 112,530.85/368.65
  6. Step 6: Final answer
    x = 305.25

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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.