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Finding the Fourth Proportional to 368.66, 508.71 and 221.24

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Solution

The fourth proportional to 368.66, 508.71 and 221.24 is: 305.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.66 : 508.71 = 221.24 : x
  2. Step 2: Convert to fraction form
    368.66/508.71 = 221.24/x
  3. Step 3: Cross multiply
    368.66x = 508.71 × 221.24
  4. Step 4: Simplify right side
    368.66x = 112,547.44
  5. Step 5: Solve for x
    x = 112,547.44/368.66
  6. Step 6: Final answer
    x = 305.29

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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.